Some properties of Ψ-gamma, Ψ-beta and Ψ-hypergeometric matrix functions
-
Ashish Verma
,
Komal Singh Yadav
Abstract
In this paper, we investigate the matrix analogues of the Ψ-beta and Ψ-gamma functions, as well as their properties. With the help of the Ψ-beta matrix function (BMF), we introduce the Ψ-Gauss hypergeometric matrix function (GHMF) and the Ψ-Kummer hypergeometric matrix function (KHMF) and derive certain properties for these matrix functions. Finally, the Ψ-Appell and the Ψ-Lauricella matrix functions are defined by applications of the Ψ-BMF, and their integral representations are also given.
Funding statement: The second author is grateful to the University Grants Commission of India for financial assistance in the form of a Junior Research Fellowship.
Acknowledgements
The authors would like to thank the anonymous referee for helpful comments that improved the contents of the manuscript.
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Articles in the same Issue
- Frontmatter
- Gronwall type inequality on generalized fractional conformable integral operators
- Asymptotic modelling of viscoelastic von Kármán membrane shells
- Global sharp gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
- Scattering of an inhomogeneous coupled Schrödinger system in the conformal space
- Existence of non-negative periodic solutions for a degenerate anisotropic parabolic equation with strongly nonlinear source
- Fractional integral inequalities for the s-(κ,H)-convex function
- Some properties of Ψ-gamma, Ψ-beta and Ψ-hypergeometric matrix functions
- On the fractional q-integral operators involving q-analogue of Mittag-Leffler function
Articles in the same Issue
- Frontmatter
- Gronwall type inequality on generalized fractional conformable integral operators
- Asymptotic modelling of viscoelastic von Kármán membrane shells
- Global sharp gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
- Scattering of an inhomogeneous coupled Schrödinger system in the conformal space
- Existence of non-negative periodic solutions for a degenerate anisotropic parabolic equation with strongly nonlinear source
- Fractional integral inequalities for the s-(κ,H)-convex function
- Some properties of Ψ-gamma, Ψ-beta and Ψ-hypergeometric matrix functions
- On the fractional q-integral operators involving q-analogue of Mittag-Leffler function
