Interpolation of entire functions, product formula for basic sine function

DOI10.2991/jnmp.2006.13.2.11zbMath1109.33019OpenAlexW2163335936MaRDI QIDQ3432962

Fethi Bouzeffour

Publication date: 19 April 2007

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2006.13.2.11

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Moment problems and interpolation problems in the complex plane (30E05)

Related Items

A sampling theorem related to the Wilson transform, Basic Fourier transform on the space of entire functions of logarithm order 2, \(q\)-Taylor and interpolation series for Jackson \(q\)-difference operators, A Whittaker-Shannon-Kotelnikov sampling theorem related to the Askey-Wilson functions, A 𝑞-sampling theorem and product formula for continuous 𝑞-Jacobi functions

Cites Work

• Unnamed Item
• Some expansions in basic Fourier series and related topics
• Asymptotic expansions for \(q\)-gamma, \(q\)-exponential, and \(q\)-Bessel functions
• Diagonalization of certain integral operators
• \(q\)-Taylor theorems, polynomial expansions, and interpolation of entire functions.
• On the Askey-Wilson and Rogers Polynomials
• The Askey–Wilson polynomials and q-Sturm–Liouville problems