On a general q-Fourier transformation with nonsymmetric kernels

Wiener used the Poisson kernel for the Hermite polynomials to deal with the classical Fourier transform. Askey, Atakishiyev and Suslov used this approach to obtain a q-Fourier transform by using the continuous q-Hermite polynomials. Rahman and Suslov extended this result by taking the Askey-Wilson p...

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Veröffentlicht in:	Journal of computational and applied mathematics 1996-04, Vol.68 (1), p.25-55
Hauptverfasser:	Askey, Richard A., Rahman, Mizan, Suslov, SergeǐK.
Format:	Artikel
Sprache:	eng
Schlagworte:	Al-Salam-Chihara polynomials Askey-Wilson polynomials Basic hypergeometric series Fourier transform Hermite polynomials Integral transforms Poisson kernels q-Fourier transform q-orthogonal polynomials
Online-Zugang:	Volltext
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