ASYMPTOTICS OF ZEROS OF CERTAIN ENTIRE FUNCTIONS

DOI10.1142/S0219530507000997zbMath1127.30012OpenAlexW2019098540WikidataQ126226039 ScholiaQ126226039MaRDI QIDQ3595323

Mourad E. H. Ismail

Publication date: 10 August 2007

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530507000997

zbMATH Keywords

asymptoticszerosRamanujan's entire functionq-Airy functionq-Bessel function

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Representations of entire functions of one complex variable by series and integrals (30D10)

Cites Work

• Ramanujan's ``Lost notebook. VIII: The entire Rogers-Ramanujan function
• Ramanujan's ``lost notebook. IX: The partial theta function as an entire function
• The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
• Uniform Asymptotic Formula for Orthogonal Polynomials with Exponential Weight
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