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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

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