Nico M. Temme, Jose L. Lopez
Published 2001-09-24Version 1
Many limits are known for hypergeometric orthogonal polynomials that occur in the Askey scheme. We show how asymptotic representations can be derived by using the generating functions of the polynomials. For example, we discuss the asymptotic representation of the Meixner-Pollaczek, Jacobi, Meixner, and Krawtchouk polynomials in terms of Laguerre polynomials.
Comments: 11 pages, 1 figure. Poceedings of the Fifth International Symposium on Orthogonal Polynomials, Special Functions and Their Applications, Patras, Greece, September 20--24, 1999.pages, 1 figure. P
Journal: J. Comput. Appl. Math. Vol. 133 (2001) 623--633
The Askey scheme as a four-manifold with corners
$q$-Hypergeometric orthogonal polynomials with $q=-1$
Additions to the formula lists in "Hypergeometric orthogonal polynomials and their $q$-analogues" by Koekoek, Lesky and Swarttouw
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