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Jacobi-type functions defined by fractional Bessel derivatives
Journal article   Peer reviewed

Jacobi-type functions defined by fractional Bessel derivatives

Fethi Bouzeffour and Wissem Jedidi
Integral transforms and special functions, Vol.34(3), pp.228-243
04/03/2023
DOI: https://doi.org/10.1080/10652469.2022.2108419

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
For a class of even weight functions, generalizations of the classical Jacobi and Laguerre polynomials are defined via fractional Rodrigues' type formulas using the Bessel operators in the form (d(2)/dx(2))+((2 beta+1)/x)(d/dx). Their properties, including hypergeometric representation, differential recurrence relations and fractional boundary value problem, are investigated.

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