Bivariate k-Mittag-Leffler functions with 2D-k-Laguerre-Konhauser polynomials and corresponding k-fractional operators

DOI10.18514/mmn.2023.3963OpenAlexW4385221625MaRDI QIDQ6064742

Publication date: 12 December 2023

Published in: Miskolc Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18514/mmn.2023.3963

zbMATH Keywords

Laguerre and Konhauser polynomials, \(k\)-Gamma function, \(k\)-Mittag-Leffer function, \(k\)-fractional integral, \(k\)-fractional derivative, double Laplace transform, convolution integral equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gamma, beta and polygamma functions (33B15) Mittag-Leffler functions and generalizations (33E12) Laplace transform (44A10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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