Jacobi-type functions defined by fractional Bessel derivatives

DOI10.1080/10652469.2022.2108419OpenAlexW4297231091WikidataQ113850273 ScholiaQ113850273MaRDI QIDQ5886903

Wissem Jedidi, Fethi Bouzeffour

Publication date: 11 April 2023

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

Full work available at URL: https://doi.org/10.1080/10652469.2022.2108419

zbMATH Keywords

Jacobi polynomialsfractional Bessel operatorfinite Jacobi functionsRodrigues' representations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (1)

Numerical study of distributed-order Bessel fractional derivative with application to Euler-Poisson-Darboux equation

Cites Work

• Transformation intégrale de Weyl et théorème de Paley-Wiener associes à un opérateur différentiel singulier sur \((0,\infty)\)
• The special functions of fractional calculus as generalized fractional calculus operators of some basic functions
• The finite continuous Jacobi transform and its inverse
• Fractional-order Legendre-Laguerre functions and their applications in fractional partial differential equations
• Legendre-type Special Functions Defined by Fractional Order Rodrigues Formula
• On a Concept of Derivative of Complex Order with Applications to Special Functions
• Jacobi Polynomials, III. An Analytic Proof of the Addition Formula
• On the fractional Bessel operator
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