Abstract
In this paper, we give the matrix version of Horn’s hypergeometric function and their confluent cases. We also discuss the regions of convergence, system of matrix differential equations of bilateral type, differential formulae and infinite summation formulae satisfied by these hypergeometric matrix functions. With the study of these 23 matrix functions, matrix generalization of Horn’s list of 34 hypergeometric series will be completed.
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© 2024 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Chern flat, Chern–Ricci flat twisted product in almost Hermitian geometry
- A study of Horn matrix functions and Horn confluent matrix functions
- A common fixed point result for multi-valued mappings in Hausdorff modular fuzzy b-metric spaces with application to integral inclusions
- (L p,λ,μ,L q,λ,μ) boundedness of the G-fractional integral operator on G-Morrey spaces
- Extension of Pochhammer symbol, generalized hypergeometric function and τ-Gauss hypergeometric function
- Analysis of the beta-logarithmic function and its properties
- Regarding the set-theoretic complexity of the general fractal dimensions and measures maps
Artikel in diesem Heft
- Frontmatter
- Chern flat, Chern–Ricci flat twisted product in almost Hermitian geometry
- A study of Horn matrix functions and Horn confluent matrix functions
- A common fixed point result for multi-valued mappings in Hausdorff modular fuzzy b-metric spaces with application to integral inclusions
- (L p,λ,μ,L q,λ,μ) boundedness of the G-fractional integral operator on G-Morrey spaces
- Extension of Pochhammer symbol, generalized hypergeometric function and τ-Gauss hypergeometric function
- Analysis of the beta-logarithmic function and its properties
- Regarding the set-theoretic complexity of the general fractal dimensions and measures maps