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arXiv · 1508.06861

$q$-Bessel Functions and Rogers-Ramanujan Type Identities

Mourad E. H. Ismail·Ruiming Zhang
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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.

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Mourad E. H. Ismail, Ruiming Zhang. 2015-08-09. $q$-Bessel Functions and Rogers-Ramanujan Type Identities. https://arxiv.org/abs/1508.06861

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