On the Wright hypergeometric matrix functions and their fractional calculus

DOI10.1080/10652469.2018.1543669zbMath1405.15009OpenAlexW2899896117WikidataQ128992561 ScholiaQ128992561MaRDI QIDQ4562718

Yong Jiao, A. Bakhet, Fu Li He

Publication date: 18 December 2018

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

Full work available at URL: https://doi.org/10.1080/10652469.2018.1543669

zbMATH Keywords

integral representationfractional calculusdifferential formulaWright hypergeometric matrix functions

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Explicit solutions, first integrals of ordinary differential equations (34A05) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (18)

Fractional order of Legendre-type matrix polynomials ⋮ Further investigations on the two variables second Appell hypergeometric matrix function ⋮ Investigation of fractional calculus for extended Wright hypergeometric matrix functions ⋮ Generalized Bessel matrix functions ⋮ Matrix analog of the four‐parameter Mittag‐Leffler function ⋮ Investigation for the k -analogue of τ -Gauss hypergeometric matrix functions and associated fractional calculus ⋮ On degenerate gamma matrix functions and related functions ⋮ On the dynamics of fractional maps with power-law, exponential decay and Mittag-Leffler memory ⋮ Fractional calculus in abstract space and its application in fractional Dirichlet type problems ⋮ On the incomplete Srivastava’s triple hypergeometric matrix functions ⋮ Unnamed Item ⋮ Lower growth of generalized Hadamard product functions in Clifford setting ⋮ Analytical properties of the generalized heat matrix polynomials associated with fractional calculus ⋮ Two variables Shivley's matrix polynomials ⋮ Fractional operators for the Wright hypergeometric matrix functions ⋮ On the incomplete second Appell hypergeometric matrix functions ⋮ On the matrix version of extended Bessel functions and its application to matrix differential equations ⋮ Divergence criteria for matrix generalized hypergeometric series

Cites Work

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• Some properties of gamma and beta matrix functions
• Some results on a generalized hypergeometric function
• Reverse generalized Bessel matrix differential equation, polynomial solutions, and their properties
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