Certain integrals involving multivariate Mittag-Leffler function

DOI10.1186/s13660-019-2162-zzbMath1499.33083OpenAlexW2964817671MaRDI QIDQ2067972

D. L. Suthar, Hafte Amsalu, Kahsay Godifey

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2162-z

zbMATH Keywords

Laguerre polynomialsfinite integralsmultivariate Mittag-Leffler function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Mittag-Leffler functions and generalizations (33E12)

Related Items (5)

The calculation of the Mittag-Leffler function ⋮ A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators ⋮ Class of integrals and applications of fractional kinetic equation with the generalized multi-index Bessel function ⋮ Unnamed Item ⋮ On multi-index Mittag-Leffler function of several variables and fractional differential equations

Cites Work

• A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials
• Certain integrals involving generalized Mittag-Leffler functions
• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• Some results on the polynomials \(L^{\alpha\beta}_n(x)\)
• Generalized fractional calculus formulas for a product of Mittag-Leffler function and multivariable polynomials
• On solution of integral equation of Abel-Volterra type
• On a generalization of Mittag-Leffler function and its properties
• On the generalized mittag-leffler type functions
• On mittag-leffler type function, fractional calculas operators and solutions of integral equations
• Marichev-Saigo-Maeda fractional calculus operators, Srivastava polynomials and generalized Mittag-Leffler function
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