A new product formula involving Bessel functions

DOI10.1080/10652469.2021.1926454OpenAlexW3161872573MaRDI QIDQ5063380

Mohamed Amine Boubatra, Selma Negzaoui, Mohamed Sifi

Publication date: 21 March 2022

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.08104

zbMATH Keywords

Gegenbauer polynomialsBessel functionstranslation operatorproduct formulaconvolution structuregeneralized Hankel and Dunkl transforms

Mathematics Subject Classification ID

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) Convolution, factorization for one variable harmonic analysis (42A85) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (14)

Flett potentials associated with differential-difference Laplace operators ⋮ Time-frequency analysis associated with the deformed Stockwell transform ⋮ Norm inequalities for maximal operators ⋮ Linear canonical deformed Hankel transform and the associated uncertainty principles ⋮ Localization operators and scalogram associated with the deformed Hankel wavelet transform ⋮ Product formula for the one-dimensional (k,a) -generalized Fourier kernel ⋮ Nondeformed generalized Dunkl transform on the line ⋮ On the kernel of the -Generalized fourier transform ⋮ Generalized translation operator and uncertainty principles associated with the deformed Stockwell transform ⋮ Generalized convolution operator associated with the \((k, a)\)-generalized Fourier transform on the real line and applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Modulus of continuity and modulus of smoothness related to the deformed Hankel transform ⋮ On the generalized Dunkl Dini–Lipschitz spaces

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