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On the matrix versions of the k analog of ‐incomplete Gauss hypergeometric functions and associated fractional calculus

Mathematical Methods in the Applied Sciences
In this paper, our aim is to introduce a new definition of ( ‐incomplete Wright hypergeometric matrix functions ( ‐IWHMFs) using the ‐incomplete Pochhammer matrix symbol. First, we define the ‐incomplete gamma matrix function and introduce the ‐incomplete Pochhammer matrix symbols.
Muneera Abdullah Qadha   +2 more
openaire   +1 more source

κ-FRACTIONAL CALCULUS OPERATORS AND SOLUTION OF FRACTIONAL KINETIC EQUATIONS INVOLVING THE MULTIVARIATE κ-MITTAG-LEFFLER MATRIX FUNCTIONS

Fractals
In this paper, a matrix analogue of a new generalization of multivariate [Formula: see text]-Mittag-Leffler (M-L) function is introduced. The differential and integral formulas and the [Formula: see text]-fractional calculus operator for the generalized multivariate [Formula: see text]-M-L matrix function are obtained.
MUNEERA ABDULLAH QADHA   +2 more
openaire   +1 more source

Investigation for the k -analogue of τ -Gauss hypergeometric matrix functions and associated fractional calculus

Linear and Multilinear Algebra, 2022
Hala Abd-Elmageed   +2 more
openaire   +1 more source

Matrix computations with the Omega calculus

Linear and Multilinear Algebra, 2022
Antonio FRANCISCO Neto
exaly  

Functional calculus estimates for Tadmor–Ritt operators

Journal of Mathematical Analysis and Applications, 2016
Felix L Schwenninger
exaly  

Functional calculus for diagonalizable matrices

Linear and Multilinear Algebra, 2014
Piotr Niemiec
exaly  

Matrix-variate statistical distributions and fractional calculus

Fractional Calculus and Applied Analysis, 2011
A M Mathai, H J Haubold, Mathai A M
exaly  

On Some Properties of the Quaternionic Functional Calculus

Journal of Geometric Analysis, 2009
Fabrizio Colombo, Irène Sabadini
exaly  

A new functional calculus for noncommuting operators

Journal of Functional Analysis, 2008
Fabrizio Colombo   +2 more
exaly  

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