𝑞-Bessel functions and Rogers-Ramanujan type identities

DOI10.1090/proc/13078zbMath1409.11082arXiv1508.06861OpenAlexW2963730887MaRDI QIDQ4577140

Ruiming Zhang, Mourad E. H. Ismail

Publication date: 17 July 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.06861

zbMATH Keywords

generating functionsRogers-Ramanujan identitiesexpansionsStieltjes-Wigert polynomials\(q\)-Bessel functionsRamanujan function

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items

Integral and series representations of q-polynomials and functions: Part III theta, Ramanujan and q-Bessel functions ⋮ Geometric and monotonic properties of Ramanujan type entire functions ⋮ Identities for generalized Appell functions and the blow-up formula ⋮ On a generalized homogeneous Hahn polynomial ⋮ Bilateral identities of the Rogers–Ramanujan type ⋮ Rogers-Ramanujan type identities and Chebyshev polynomials of the third kind ⋮ Radius of \(\gamma\)-spirallikeness of order \(\alpha\) of some special functions ⋮ Integral and series representations of q-polynomials and functions: Part I ⋮ On zeros of some entire functions ⋮ Completely Monotonic Fredholm Determinants ⋮ Univalence of certain integral operators involving q-Bessel functions

Cites Work

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