Orthogonal Polynomials and Special Functions
Orthogonal Polynomials and Special Functions
Orthogonal Polynomials and Special Functions
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October 1998 <strong>Orthogonal</strong> <strong>Polynomials</strong> <strong>and</strong> <strong>Special</strong> <strong>Functions</strong> Newsletter 4<br />
Program Director: Peter A. McCoy<br />
“The <strong>Orthogonal</strong> <strong>Polynomials</strong> <strong>and</strong> <strong>Special</strong><br />
<strong>Functions</strong> Activity Group will be strengthened<br />
by a program that enhances global interdisciplinary<br />
relations between academics,<br />
laboratories <strong>and</strong> industry. This connectivity<br />
broadens the scope of the discipline <strong>and</strong> exp<strong>and</strong>s<br />
working relationships between its members.<br />
I believe that establishment of a biannual<br />
meeting <strong>and</strong> workshop would serve the<br />
purpose of focusing the discipline on particular<br />
areas <strong>and</strong> setting the direction for their<br />
study. These initiatives would be highlighted<br />
in our Newsletter, on the OP-SF Net, <strong>and</strong><br />
implemented through minisymposia at the<br />
SIAM annual meeting. The initiatives will<br />
also be coordinated with special sessions of<br />
other societies.”<br />
Finally, I would like to apologize for the poor quality<br />
of the last issue of the Newsletter. It was<br />
printed on only one side of the paper <strong>and</strong> the<br />
pages were not stapled in the usual way. This<br />
was the result of an internal problem at the SIAM<br />
headquarters, <strong>and</strong> had nothing to do with our new<br />
co-editors.<br />
Here is the letter of explanation from Vickie<br />
Kearn who is the responsible SIAM person.<br />
Dear Wolfram:<br />
When your newsletter came in I was out of<br />
the office for a week with the flu. The person<br />
who processed the newsletter was new<br />
<strong>and</strong> did not underst<strong>and</strong> the procedure.<br />
I apologize for this <strong>and</strong> can assure you<br />
that the procedure is understood <strong>and</strong> will<br />
be correct in the future.<br />
Vickie<br />
September 30, 1998<br />
Wolfram Koepf<br />
(koepf@imn.htwk-leipzig.de)<br />
As Wolfram Koepf already pointed out, we have<br />
collaborated with him in editing the present issue,<br />
the last one for him as editor. Again, a lot of material<br />
was collected from OP-SF NET. We thank<br />
all the people who have submitted items for this<br />
issue, specially the Meetings reports.<br />
As usual we hope you find this issue interesting<br />
<strong>and</strong> useful, <strong>and</strong> remember that you can send items<br />
for future issues to either of us.<br />
September 30, 1998<br />
Renato Álvarez-Nodarse<br />
(nodar@math.uc3m.es)<br />
Rafael J. Yáñez<br />
(ryanez@ugr.es)<br />
Reports from Meetings <strong>and</strong> Conferences<br />
1. VIIth International Scientific Krawtchouk Conference:<br />
Kiev, Ukraine, May 14-16, 1998<br />
The 7th International Krawtchouk Conference took place<br />
in Kiev, Ukraine, from May 14 to May 16, 1998. Below<br />
are some titles of the reports related to orthogonal polynomials,<br />
special functions <strong>and</strong> integral transforms.<br />
• M. Khomenko, M. Krawtchouk’s background<br />
• V. Zelenko, Recent development of M. Krawtchouk’s<br />
ideas: related articles<br />
• Yu. Bily, M. Krawtchouk on international mathematical<br />
forums<br />
• M. Babyuk, Integral Hankel type transforms of the 1st<br />
kind <strong>and</strong> spectral parameter in a boundary condition<br />
• N. Virchenko, About integral equations with generalized<br />
Bessel type functions<br />
• V. Gaidei, New generalization of integral transform of<br />
the Bessel type<br />
• V. Zelenkov, V. Savva, <strong>Orthogonal</strong> polynomials as a<br />
tool to solve differential equations describing multilevel<br />
systems dynamics<br />
• V. Korolyuk, Stochastic Krawtchouk polynomials<br />
• A. Mazurenko, V. Savva, Discrete variable polynomials:<br />
Analog of the Christoffel formula <strong>and</strong> its application<br />
to solve some differential equations<br />
• Yu. Mamteev, V. Stukalina, T. Hoochraeva, Features<br />
of an algorithm for calculating the modified function<br />
by recurrence relations<br />
• M. Mironenko, Pair adder equation in periodic contact<br />
problems<br />
• A. Mironov, On the integral equations for the Riemann<br />
function<br />
• G. Prizva, Generalization of classical orthogonal polynomials<br />
of discrete variable<br />
• E. Seneta, Characterization of Markov chains by orthogonal<br />
polynomial systems