Title

ON THE ATKIN POLYNOMIALS

Authors

Authors

A. El-Guindy;M. E. H. Ismail

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Pac. J. Math.

Keywords

associated Jacobi polynomials; asymptotics; weight functions; scaled; invariant; modular function; birth and death process polynomials; supersingular polynomials; Hecke operators; Mathematics

Abstract

We identify the Atkin polynomials in terms of associated Jacobi polynomials. Our identification then takes advantage of the theory of orthogonal polynomials and their asymptotics to establish many new properties of the Atkin polynomials. This shows that corecursive polynomials may lead to interesting sets of orthogonal polynomials.

Journal Title

Pacific Journal of Mathematics

Volume

272

Issue/Number

1

Publication Date

1-1-2014

Document Type

Article

DOI Link

http://dx.doi.org/10.2140/pjm.2014.272.111

Language

English

First Page

111

Last Page

129

WOS Identifier

WOS:000346905600005

ISSN

0030-8730

Recommended Citation

"ON THE ATKIN POLYNOMIALS" (2014). Faculty Bibliography 2010s. 5298.
https://stars.library.ucf.edu/facultybib2010/5298