Q-Bessel Functions And Rogers-Ramanujan Type Identities

Keywords

Expansions; Generating functions; q-Bessel functions; Ramanujan identities; Rogers; Stieltjes-Wigert polynomials; The Ramanujan function

Abstract

We evaluate q-Bessel functions at an infinite sequence of points and introduce a generalization of the Ramanujan function and give an extension of the m-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.

Publication Date

1-1-2018

Publication Title

Proceedings of the American Mathematical Society

Volume

146

Issue

9

Number of Pages

3633-3646

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/proc/13078

Socpus ID

85049996974 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85049996974

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