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arXiv · 2008.02561

Discrete Fourier-Jacobi transform

Semyon Yakubovich
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Abstract

Discrete analogs of the classical Fourier-Jacobi transform are introduced and investigated. It involves series and integrals with respect to parameters of the Gauss hypergeometric function ${}_2F_1(a+in/2,a-in/2;\ c; -x^2 ), \ x >0, n \in \mathbb{N}, a,c > 0, i $ is the imaginary unit. The corresponding inversion formulas for suitable functions and sequences in terms of these series and integrals are established.

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Semyon Yakubovich. 2020-08-06. Discrete Fourier-Jacobi transform. https://arxiv.org/abs/2008.02561

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