On Fourier integral transforms forq-Fibonacci andq-Lucas polynomials

DOI10.1088/1751-8113/45/19/195206zbMath1248.33031arXiv1112.2073OpenAlexW3121336039MaRDI QIDQ2890766

Decio Levi, Natig M. Atakishiyev, Pedro Franco, Orlando Ragnisco

Publication date: 12 June 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.2073

zbMATH Keywords

Fourier integral transform\(q\)-Fibonacci polynomials\(q\)-Lucas polynomials

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Other basic hypergeometric functions and integrals in several variables (33D70)

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