On some fractional generalizations of the Laguerre polynomials and the Kummer function

DOI10.1016/j.camwa.2009.06.037zbMath1189.33020OpenAlexW2078544605MaRDI QIDQ980234

S. P. Mirevski, Lyubomir Boyadjiev

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.06.037

zbMATH Keywords

Laguerre polynomialsRodrigues' formulaRiemann-Liouville fractional differentiation and integration operatorsthe Kummer differential equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Fractional ordinary differential equations (34A08)

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Cites Work

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• On the Riemann-Liouville fractional calculus, \(g\)-Jacobi functions and \(F\)-Gauss functions
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional diffusion and wave equations

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