On the incomplete hypergeometric matrix functions

DOI10.1007/s11139-016-9795-zzbMath1375.33008OpenAlexW2401770454MaRDI QIDQ1676106

Peng Zhang

Publication date: 3 November 2017

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-016-9795-z

zbMATH Keywords

gamma matrix functionincomplete gamma matrix functionincomplete hypergeometric matrix functionsincomplete Pochhammer matrix symbols

Mathematics Subject Classification ID

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 (10)

On the Wright hypergeometric matrix functions and their fractional calculus ⋮ Euler-type integrals for the generalized hypergeometric matrix function ⋮ Matrix analog of the four‐parameter Mittag‐Leffler function ⋮ On the incomplete Srivastava’s triple hypergeometric matrix functions ⋮ On behavior Laplace integral operators with generalized Bessel matrix polynomials and related functions ⋮ Special matrix functions: characteristics, achievements and future directions ⋮ Some results on the first Appell matrix functionF₁(A,B,B′,C;z,w) ⋮ Fractional operators for the Wright hypergeometric matrix functions ⋮ On the incomplete second Appell hypergeometric matrix functions ⋮ Divergence criteria for matrix generalized hypergeometric series

Cites Work

• On the \(p\) and \(q\)-Appell matrix function
• On Humbert matrix functions and their properties
• On the hypergeometric matrix function
• Asymptotics of the modified Bessel and the incomplete gamma matrix functions
• Closed form general solution of the hypergeometric matrix differential equation
• Jacobi matrix differential equation, polynomial solutions, and their properties
• Lie theory and special functions
• Partial differential equations for hypergeometric functions of two argument matrices
• Some properties of gamma and beta matrix functions
• A New Extension of Humbert Matrix Function and Their Properties
• The incomplete Pochhammer symbols and their applications to hypergeometric and related functions
• Reverse generalized Bessel matrix differential equation, polynomial solutions, and their properties
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