o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
May 15, 2002
O P - S F N E T Volume 9, Number 3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Editor:
Martin Muldoon muldoon@yorku.ca
The Electronic News Net of the SIAM Activity Group
on Orthogonal Polynomials and Special Functions
Please send contributions to: poly@siam.org
Subscribe by mailing to: poly-request@siam.org
or to: listproc@nist.gov
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
Today's Topics:
1. Meeting and book dedicated to Mizan Rahman
2. Book "Asymptotics and Mellin-Barnes Integrals"
3. Book "On a class of incomplete gamma functions with applications"
4. Book "Asymptotic approximations of integrals"
5. Preprints in xxx Archive
6. About the Activity Group
7. Submitting contributions to OP-SF NET and Newsletter
Calendar of Events:
2002
June 21-26: Symmetries and Integrability of Difference Equations
(SIDE V), Giens, France 9.2 #3
June 27 - July 2: van Moerbeke on Random Matrices, etc.,
Leeds, UK 9.1 #5
June 24-27: International Workshop on Orthogonal Polynomials,
Leganes, Madrid 8.6 #4
July 1-5: International Conference on Differential, Difference
Equations and their Applications. Patras, Greece 8.4 #3, 9.1 #7
July 8-12 - SIAM 50th Anniversary & Annual Meeting
Philadelphia, Pennsylvania, USA 8.6 #5
July 22 - August 2: IMA Summer Program "Special Functions in the
Digital Age" Minneapolis, Minnesota, USA 8.2 #7 8.6 #9
August 5-7: Workshop on Special Functions at FoCM'02, "Foundations of
Computational Mathematics" Minneapolis,
Minnesota, USA 8.1 #1 8.6 #10
August 12-17: Summer school in Orthogonal Polynomials and
Special Functions, Leuven, Belgium 8.4 #4 9.2 #5
September 2-6: Summer School on Approximation Methods in Systems
Theory, Laredo, Spain. 9.1 #6
September 23-27: International Conference on Special Functions
and their Applications, Chennai, India 9.2 #4
2003
January 15-18: Annual Meeting of American Mathematical Society
including special session on "Special Functions and q-Series"
Baltimore, Maryland, USA 9.3 #1
July 7-11: 5th International Congress on Industrial and Applied
Mathematics, ICIAM 2003, Sydney, Australia. 8.6 #6
August 11-16: Fourth ISAAC Congress, Toronto, Canada 9.2 #6
August 18-22: Seventh International Symposium on Orthogonal
Polynomials, Special Functions and Applications,
Copenhagen, Denmark 8.6 #7
Future plans:
There are plans to organize a summer school on Orthogonal Polynomials and
Special Functions in Portugal in July 2003. (Contact person: Amilcar
Branquinho). This is in the series Laredo (2000), Inzell (2001) and Leuven
(2002; see Topic #5). The coordinator of the three summer schools is Erik
Koelink (koelink@dutiaw4.twi.tudelft.nl). These summer schools are part of
our Activity Group's scientific program. The scientific committee consists
of Erik Koelink, Rupert Lasser, Amilcar Branquinho, Paco Marcellan and
Walter Van Assche.
Topic #1 ------------- OP-SF NET 9.3 ---------------- May 15, 2002
~~~~~~~~~~~~~
From: Erik Koelink
Subject: Meeting and book dedicated to Mizan Rahman
The American Mathematical Society has approved a special session on
"Special Functions and q-Series" for the Annual Meeting of the Society to
be held in Baltimore during January 15-18, 2003. This special session is
organised by Mourad E. H. Ismail, University of South Florida. See
http://www.ams.org/amsmtgs/2074_intro.html
for more information.
We take the opportunity of having such a session to honour Mizan Rahman and
dedicate the talks to him in recognition of his many contributions to the
subject. The list of confirmed speakers includes, amongst others: Richard
Askey, George Andrews, Bruce Berndt, George Gasper, Mourad Ismail, Erik
Koelink, Steve Milne, Michael Schlosser, Dennis Stanton, Sergei Suslov, and
of course, Mizan Rahman.
The book
"Theory and Applications of Special Functions
A volume dedicated to Mizan Rahman"
will appear in the series "Developments in Mathematics", edited by
Krishnaswami Alladi and a companion series to the Ramanujan Journal. Mourad
E.H. Ismail and Erik Koelink will act as editors for this book dedicated to
Mizan Rahman. Research papers will be refereed with high standards
comparable to those of the Ramanujan Journal, Constructive Approximation or
Journal of Approximation Theory. We invite contributions to the volume and
those interested please submit the paper no later than 2/2/2003, and send
it to:
Denise Marks, Department of Mathematics,
University of South Florida,
4202 E. Fowler Ave., PHY 114
Tampa, FL 33620-5700, USA
If you prefer a particular one of the editors to handle your paper, please
indicate your preference at the time of submission.
We hope that both the meeting and the book will reflect Mizan Rahman's
contributions to and influence on mathematics and mathematicians.
Mourad Ismail and Erik Koelink
Topic #2 ------------- OP-SF NET 9.3 ---------------- May 15, 2002
~~~~~~~~~~~~~
From: Nico Temme
Subject: Book "Asymptotics and Mellin-Barnes Integrals"
R.B. Paris and D. Kaminski.
Asymptotics and Mellin-Barnes Integrals -
Cambridge UP, 2001. 422 p. ISBN 0-521-79001-8 hc.
(Encyclopedia of mathematics and its applications v. 85).
This book is a very welcome addition to the presently most interesting
books on asymptotics by Olver [1] and Wong [2]. First an introduction to
asymptotics of integrals is given and then the special features of
Mellin-Barnes integrals are considered. These integrals have integrands
with rational functions of gamma functions, and arise in the inversion of
Mellin transforms. Many special functions of hypergeometric type, and
integrals or products of these functions, can be written as such integrals.
Other series and integrals can be transformed into these forms also, as is
done, for example, for the generalised Euler-Jacobi series
$S_p(a)=\sum_{n=0}^\infty \exp(-an^p)$, $p>0$ of which the asymptotic
behaviour for $a\downarrow 0$ is studied.
Much attention is paid to topics that gave recently new insights in the
theory of asymptotic expansions, such as the Stokes phenomenon (the sudden
change of certain constants in asymptotic approximations), exponential
asymptotics (the role of exponentially small terms in asymptotic
approximations), and to hyperasymptotics (the expansion of remainders in
asymptotic approximations at an optimal point in the expansion).
Other topics are expansions for the Riemann zeta function on the critical
line, the Pearcey integral (a two-variable generalisation of the classical
Airy function), and applications to number-theoretic examples, solving
differential, difference and integral equations. There is a chapter on
multiple Mellin-Barnes integrals, with applications to double integrals of
Laplace type (and of higher dimension), with extensive discussion of the
role of the Newton diagram for investigating phase functions with interior,
boundary and exterior critical points. Biographies of Mellin and Barnes
are also included.
The book should be accessible to readers with a solid undergraduate
background in functions of a single complex variable. I can highly
recommend this book to anyone interested in asymptotics of integrals or in
asymptotic methods for special functions.
[1] F.W.J. Olver (1974), Asymptotics and Special Functions, Academic Press, New
York; reprinted in 1997 (A.K. Peters, Massachusetts).
[2] R. Wong (1989), Asymptotic Approximations of Integrals, Academic Press;
reprinted in 2001 (SIAM, Philadelphia).
Topic #3 ------------- OP-SF NET 9.3 ---------------- May 15, 2002
~~~~~~~~~~~~~
From: Nico Temme
Subject: Book "On a class of incomplete gamma functions with applications"
M. Aslam Chaudhry and Syed M. Zubair.
On a class of incomplete gamma functions with applications -
Boca Raton, FL: Chapman \& Hall/CRC. 2001.
493 p. ISBN 1-58488-143-7/hc.
The book gives a general introduction to functions related to the gamma
function, but the central idea is the generalisation of these functions by
including extra terms or parameters in the standard integral representation
of the functions. The incomplete gamma functions are generalised into the
form $\int_0^x t^{\alpha-1}\exp(-t-b/t)\,dt$, which for $b=0$ is the
standard form, and which for $x=\infty$ is considered as the generalised
gamma function (which in fact becomes a $K-$Bessel function). The beta
integral, the Riemann zeta function and Fresnel integrals are generalised
in a similar way. Many properties and relations are discussed for these new
functions, and a further generalisation of the incomplete gamma function is
introduced by replacing $\exp(-b/t)$ by a $K-$Bessel function. If possible,
relations with generalised hypergeometric functions are given. For example,
the Kamp\'e de F\'eriet function of two variables and the Fox $H-$function
are used for this purpose. Several introductions are motivated by
considering problems from mathematical physics and probability theory
(generalised Gaussian distributions); examples from heat conduction
problems are discussed in several chapters of the book. Many tables of
computed values and graphs of the generalised functions and of quantities
arising in problems from physic are given. In an appendix a table of
Laplace transforms and a number of theorems on integrals dependent on
parameters are included (differentiation, interchanging the order of
integration, and so on).
Without any doubt, the standard special functions can be generalised or
extended in various ways to new classes of functions. A nice point of this
book is that several generalisations considered here play a role in
interesting problems from mathematical physics.
Topic #4 ------------- OP-SF NET 9.3 ---------------- May 15, 2002
~~~~~~~~~~~~~
From: Nico Temme
Subject: Book "Asymptotic approximations of integrals"
The book Asymptotic approximations of integrals by Roderick Wong (earlier
published by Academic Press in 1989) has been reprinted by SIAM (Classics
in Applied Mathematics, 34). For earlier reviews see Mathematical Reviews
90j:41061 by F. Ursell and Zentralblatt f\"ur Mathematik 0679.41001 by
K.Chandrasekhara Rao.
Topic #5 ------------- OP-SF NET 9.3 ---------------- May 15, 2002
~~~~~~~~~~~~~
From: OPSF NET Editor
Subject: Preprints in xxx Archive
The following preprints related to the fields of orthogonal polynomials
and special functions were recently posted or cross-listed to one of the
subcategories of the xxx archives. See especially:
http://front.math.ucdavis.edu/math.CA
http://front.math.ucdavis.edu/math.CO
http://front.math.ucdavis.edu/math.QA
http://xxx.lanl.gov/archive/solv-int
math.CA/0203026
Title: Polynomials of Meixner's type in infinite dimensions-Jacobi
fields and orthogonality measures
Authors: E. Lytvynov
Subj-class: Classical Analysis; Probability Theory
MSC-class: 60G51; 60G57
math.QA/0203049
Title: Modular transformations of the elliptic hypergeometric
functions, Macdonald polynomials, and the shift operator
Authors: G. Felder, L. Stevens, A. Varchenko
Comments: Latex, 19 pages; corrected misprint in Corollary 8.3
Subj-class: Quantum Algebra
math.CO/0203094
Title: New polynomial analogues of Jacobi's triple product and
Lebesgue's identities
Authors: Krishnaswami Alladi, Alexander Berkovich
Comments: 19 pages
Subj-class: Combinatorics; Number Theory; Quantum Algebra
MSC-class: 05A19, 05A30, 11P82, 33D15
math.CO/0203111
Title: Some Observations on Dyson's New Symmetries of Partitions
Authors: Alexander Berkovich, Frank G. Garvan
Comments: 27 pages, 15 figures, appendix B added, additional
references, some typos eliminated, to appear in Journal
of Combinatorial Theory, Series A
Subj-class: Combinatorics; Number Theory; Quantum Algebra
MSC-class: 11P81, 11P83, 05A17, 33D15
math.NT/0203120
Title: Two complete and minimal systems associated with the
zeros of the Riemann zeta function
Authors: Jean-Francois Burnol
Comments: 14 pages, AMS-LaTeX
Subj-class: Number Theory
math.QA/0203136
Title: Askey-Wilson Type Functions, With Bound States
Authors: Luc Haine, Plamen Iliev
Comments: 40 pages
Subj-class: Quantum Algebra; Classical Analysis
MSC-class: 33D45, 37K10, 14H70, 39A70, 39A13
math.RT/0203211
Title: Matrix Valued Spherical Functions Associated to the
Three Dimensional Hyperbolic Space
Authors: F. A. Grunbaum, I. Pacharoni, J. Tirao
Comments: 55 pages
Subj-class: Representation Theory; Classical Analysis
MSC-class: 22E30; 22E46; 33C45
math.CO/0203226
Title: Restricted Permutations, Fibonacci Numbers, and
k-generalized Fibonacci Numbers
Authors: Eric S. Egge, Toufik Mansour
Comments: 29 pages
Subj-class: Combinatorics
MSC-class: 05A15
math.CO/0203229
Title: q-Hypergeometric proofs of polynomial analogues of
the triple product identity, Lebesgue's identity and Euler's
pentagonal number theorem
Authors: S. Ole Warnaar
Comments: 7 pages, AMS-LaTeX
Subj-class: Combinatorics; Quantum Algebra
MSC-class: 05A19, 33D15
math.CA/0203264
Title: Transforming the Heun equation to the hypergeometric \
equation I: Polynomial transformations
Authors: Robert S. Maier (University of Arizona)
Comments: 24 pages, uses SIAM macros
Subj-class: Classical Analysis; Mathematical Physics
MSC-class: 33E30 (Primary) 34M35, 33C05 (Secondary)
math-ph/0203015
Title: Linear Differential Equations and Orthogonal Polynomials:
A Novel Approach
Authors: N. Gurappa, Prasanta K. Panigrahi, T. Shreecharan
Comments: Typographical Error Corrected on Page1
Subj-class: Mathematical Physics
math-ph/0203020
Title: A note on the theorems of M. G. Krein and L. A.
Sakhnovich on continuous analogs of orthogonal polynomials
on the circle
Authors: Alexander Teplyaev
Subj-class: Mathematical Physics; Functional Analysis;
Spectral Theory
MSC-class: 34L40 31A25 31A35 34B40 34F05 41A10 42C05 42C15 42C30
44A60 45P05 47A10 47A11 47B25 47B80 47E05 60H2
math-ph/0203031
Title: Quantum systems related to root systems and radial parts
of Laplace operators
Author: M.A.Olshanetsky, A.M.Perelomov
Comments: an old paper (1978) posted for archival purposes
Subj-class: Mathematical Physics
Journal-ref: Funct. Anal. Appl. 12 (1978) 121-128
math-ph/0203049
Title: {\bf $\tau$-Function Evaluation of Gap Probabilities
in Orthogonal and Symplectic Matrix Ensembles}
Authors: P.J. Forrester, N.S. Witte
Comments: AMS-Latex
Subj-class: Mathematical Physics
MSC-class: 15A52;33E17;58F07
math-ph/0203052
Title: Closed-form sums for some perturbation series involving
hypergeometric functions
Authors: Nasser Saad, Richard L. Hall
Comments: 24 pages, no figures
Subj-class: Mathematical Physics
math-ph/0203058
Title: Zeros of polynomials orthogonal on several intervals
Authors: Franz Peherstorfer
Comments: 21 pages, revised and extended version, slight
corrections also
Subj-class: Mathematical Physics; Classical Analysis
MSC-class: 42c05
math.CA/0204098
Title: Dicrete Analogues of the Laguerre Inequality
Authors: Ilia Krasikov
Comments: 10 pages, no figures
Subj-class: Classical Analysis
math.QA/0204103
Title: Quantum Symmetric Pairs and Their Zonal Spherical
Functions
Authors: Gail Letzter
Subj-class: Quantum Algebra; Representation Theory
MSC-class: 17B37
math.CA/0204248
Title: Riemann--Hilbert analysis for Laguerre polynomials
with large negative parameter
Authors: A.B.J. Kuijlaars, K.T-R McLaughlin
Comments: 26 pages, 8 figures, To appear in Computational
Methods and Function Theory
Subj-class: Classical Analysis; Complex Variables
MSC-class: 30E15; 33C45
math.CA/0204294
Title: A connection between orthogonal polynomials on the unit
circle and matrix orthogonal polynomials on the real line
Authors: Maria J. Cantero (Universidad de Zaragoza, Spain),
Maria P. Ferrer (Universidad de Zaragoza, Spain),
Leandro Moral (Universidad de Zaragoza, Spain),
Luis Velazquez (Universidad de Zaragoza, Spain)
Comments: 28 pages
Subj-class: Classical Analysis
MSC-class: 42C05
math.CA/0204299
Title: Measures and semi-orthogonal functions on the unit circle
Authors: Maria J. Cantero (Universidad de Zaragoza, Spain),
Maria P. Ferrer (Universidad de Zaragoza, Spain),
Leandro Moral (Universidad de Zaragoza, Spain),
Luis Velazquez (Universidad de Zaragoza, Spain)
Comments: 20 pages
Subj-class: Classical Analysis
MSC-class: 42C05
math.CA/0204300
Title: Five-diagonal matrices and zeros of orthogonal polynomials
on the unit circle
Authors: Maria J. Cantero (Universidad de Zaragoza),
Leandro Moral (Universidad de Zaragoza),
Luis Velazquez (Universidad de Zaragoza)
Comments: 25 pages
Subj-class: Classical Analysis
MSC-class: 42C05
math.FA/0204304
Title: Asymptotics of determinants of Bessel operators
Authors: Estelle L. Basor, Torsten Ehrhardt
Subj-class: Functional Analysis; Mathematical Physics
MSC-class: 47B35; 82B
math.CA/0204317
Title: Multiplicity of zeros and discrete orthogonal polynomials
Authors: Ilia Krasikov
Subj-class: Classical Analysis
MSC-class: 30C15, 33C47
math-ph/0204001
Title: Distribution of the first particle in discrete orthogonal
polynomial ensembles
Authors: Alexei Borodin, Dmitriy Boyarchenko
Comments: 41 pages
Subj-class: Mathematical Physics; Classical Analysis; Exactly
Solvable and Integrable Systems
math-ph/0204006
Title: Universality for eigenvalue correlations from the modified
Jacobi unitary ensemble
Authors: Arno Kuijlaars, Maarten Vanlessen
Comments: 19 pages, 3 figures
Subj-class: Mathematical Physics; Classical Analysis
MSC-class: 15A52; 82B44
math-ph/0204008
Title: Application of the $\tau$-function theory of Painlev\'e
equations to random matrices: \PVI, the JUE, CyUE, cJUE
and scaled limits
Authors: P.J. Forrester, N.S. Witte
Comments: AMSLatex
Subj-class: Mathematical Physics
MSC-class: 15A52;33E17;58F07
math-ph/0204012
Title: Deformation of the three-term recursion relation and the
generation of new orthogonal polynomials
Authors: A. D. Alhaidari
Comments: 12 pages, 3 figures
Subj-class: Mathematical Physics
math-ph/0204025
Title: The generating function for a particular class of
characters of SU(n)
Authors: Wifredo Garcia Fuertes, Askold Perelomov (Univ. of Oviedo)
Comments: 7 pages, no figures
Subj-class: Mathematical Physics
math-ph/0204026
Title: Associated Lam\'{E} Equation, Periodic Potentials and sl(2,R)
Authors: Asish Ganguly
Comments: 8 pages, no figure, tex file(version 2.09)
Subj-class: Mathematical Physics
Journal-ref: published, Mod. Phys. Lett. A15(2000),1923
math-ph/0204054
Title: A Generalization of Landen's Quadratic Transformation
Formulas for Jacobi Elliptic Functions
Authors: Avinash Khare, Uday Sukhatme
Comments: 11 pages
Subj-class: Mathematical Physics
nlin.SI/0204043
Title: Einstein--Weyl spaces and dispersionless
Kadomtsev--Petviashvili equation from Painlev\'e I and II
Authors: Maciej Dunajski, Paul Tod
Subj-class: Exactly Solvable and Integrable Systems;
Differential Geometry
nlin.SI/0204054
Title: Partition functions for Matrix Models and Isomonodromic
Tau functions
Authors: M. Bertola, B. Eynard, J. Harnad
Comments: 17 pages, one figure, uses subeqnarray.sty, added
references, typos removed
Subj-class: Exactly Solvable and Integrable Systems;
Mathematical Physics
Topic #6 ------------- OP-SF NET 9.3 ---------------- May 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: About the Activity Group
The SIAM Activity Group on Orthogonal Polynomials and Special Functions
consists of a broad set of mathematicians, both pure and applied. The
Group also includes engineers and scientists, students as well as experts.
We have around 140 members scattered about in more than 20 countries.
Whatever your specialty might be, we welcome your participation in this
classical, and yet modern, topic. Our WWW home page is:
http://math.nist.gov/opsf/
This is a convenient point of entry to all the services provided by the
Group. Our Webmaster is Bonita Saunders (bonita.saunders@nist.gov).
The Activity Group sponsors OP-SF NET, which is transmitted periodically by
SIAM. It is provided as a free public service; membership in SIAM is not
required. The OP-SF Net Editor is Martin Muldoon (muldoon@yorku.ca).
To receive the OP-SF NET, send your name and email address to
poly-request@siam.org.
Back issues can be obtained at the WWW addresses:
http://turing.wins.uva.nl/~thk/opsfnet
http://www.math.ohio-state.edu/JAT/DATA/OPSFNET/opsfnet.html
http://math.nist.gov/opsfnet/archive
The NET provides fast turnaround compared to the printed Newsletter, also
sponsored by the Activity Group, and edited by Renato Alvarez-Nodarse and
Rafael Yanez. It appears three times a year and is mailed by SIAM. Back
issues are accessible at:
http://www.mathematik.uni-kassel.de/~koepf/siam.html
To receive the Newsletter, you must be a member of SIAM and of the Activity
Group. SIAM has several categories of membership, including low-cost
categories for students and residents of developing countries. For current
information on SIAM and Activity Group membership, contact:
Society for Industrial and Applied Mathematics
3600 University City Science Center
Philadelphia, PA 19104-2688 USA
phone: +1-215-382-9800
email: service@siam.org
WWW : http://www.siam.org
http://www.siam.org/membership/outreachmem.htm
Finally, the Activity Group operates an email discussion group, called
OP-SF Talk. To subscribe, send the email message
subscribe opsftalk Your Name
to listproc@nist.gov. To contribute an item to the discussion, send email
to opsftalk@nist.gov. The archive of all messages is accessible at:
http://math.nist.gov/opsftalk/archive
Topic #7 ------------- OP-SF NET 9.3 ---------------- May 15, 2002
~~~~~~~~~~~~~
From: OP-SF NET Editor
Subject: Submitting contributions to OP-SF NET and Newsletter
To contribute a news item to OP-SF NET, send email to poly@siam.org with a
copy to the OP-SF Editor . Please note that submissions
to the Net are automatically considered for the Newsletter, and vice versa,
unless the contributor requests otherwise.
Contributions to OP-SF NET 9.4 should be sent by July 1, 2002.
Please send your (printed) Newsletter contributions directly to the
Editors:
Renato Alvarez-Nodarse
Departamento de Analisis Matematico
Universidad de Sevilla
Apdo. Postal 1160,
Sevilla E-41080 Spain
fax: +34-95-455-7972
e-mail: ran@us.es
Rafael J. Yanez
Departamento de Matematica Aplicada
Universidad de Granada
E-18071 Granada, Spain
phone: +34-58-242941
fax: +34-58-242862
e-mail: ryanez@ugr.es
preferably by email, and in latex format. Other formats are also acceptable
and can be submitted by email, regular mail or fax.
The deadline for submissions to be included in the October 2002 issue is
September 15, 2002, and for the February 2003 issue is January 15, 2003.
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
OP-SF NET is a forum of the SIAM Activity Group on
Special Functions and Orthogonal Polynomials.
We disseminate your contributions on anything of interest to the
special functions and orthogonal polynomials community. This
includes announcements of conferences, forthcoming books, new
software, electronic archives, research questions, job openings.
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
Send submissions to: poly@siam.org
Subscribe by mailing to: poly-request@siam.org
or to: listproc@nist.gov
Get back issues from URL: http://turing.wins.uva.nl/~thk/opsfnet/
WWW home page of this Activity Group:
http://math.nist.gov/opsf/
Information on joining SIAM
and this activity group: service@siam.org
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o
The elected Officers of the Activity Group (2002-2004) are:
Daniel W. Lozier, Chair
Walter Van Assche, Vice Chair
Peter Clarkson, Secretary
Francisco Marcellan, Program Director
The appointed officers are:
Renato Alvarez-Nodarse and Rafael J. Yanez,
Newsletter Editors
Martin Muldoon, OP-SF NET editor
Bonita Saunders, Webmaster
o - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - o