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q-Bessel Fourier Transform and Variation Diminishing kernel

2012/09/23 by Lazhar Dhaouadi, Dhaouadi, Lazhar, Islem, Saidani +1
Mathematics · Physics and Astronomy · #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1209.5088

openalex publication_date 2012/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the variation diminishing kernel as a part of the q-calculus. We introduce the q-Macdonald function a newborne in the family of the q-special functions which play a central role in this study.

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