$q$-Bessel Functions and Rogers-Ramanujan Type Identities
Classical Analysis and ODEs
2015-08-28 v1
Abstract
We evaluate -Bessel functions at an infinite sequence of points and introduce a generalization of the Ramanujan function and give an extension of the -version of the Rogers-Ramanujan identities. We also prove several generating functions for Stieltjes-Wigert polynomials with argument depending on the degree. In addition we give several Rogers-Ramanujan type identities.
Cite
@article{arxiv.1508.06861,
title = {$q$-Bessel Functions and Rogers-Ramanujan Type Identities},
author = {Mourad E. H. Ismail and Ruiming Zhang},
journal= {arXiv preprint arXiv:1508.06861},
year = {2015}
}
Comments
15 pages