Integral and series representations of q-polynomials and functions: Part III theta, Ramanujan and q-Bessel functions
DOI10.1142/S0219530521500093zbMath1506.33010OpenAlexW3172494620MaRDI QIDQ5037869
Ruiming Zhang, Mourad E. H. Ismail
Publication date: 4 March 2022
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219530521500093
Rogers-Ramanujan identitiesStieltjes-Wigert polynomials\(q\)-Lommel polynomialsmodified \(q\)-Bessel functions\(q\)-Bessel polynomialsbasic confluent hypergeometric functions\(m\)-versionsthe Ramanujan function
Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) (q)-gamma functions, (q)-beta functions and integrals (33D05) Basic hypergeometric integrals and functions defined by them (33D60)
Cites Work
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- Some indetermining moment problems and Freud-like weights
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- Ramanujan's Lost Notebook
- A moment problem and a family of integral evaluations
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