Expansions in terms of \(q\)-Laguerre heat polynomials

DOI10.1007/s00009-014-0395-0zbMath1304.35204OpenAlexW1965461047MaRDI QIDQ464347

Med Saber Ben Hammouda

Publication date: 17 October 2014

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-014-0395-0

zbMATH Keywords

\(q\)-heat equationseries of polynomial solutions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Series solutions to PDEs (35C10) PDEs in connection with quantum mechanics (35Q40) General mathematical topics and methods in quantum theory (81Q99)

Cites Work

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• Shorter Notes: A Simple Proof of Ramanujan's 1 Ψ 1 Sum
• The Radial Heat Polynomials and Related Functions
• Quantum calculus

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