ESSENTIAL ATTRIBUTES OF THE DEGENERATED TRIPLE HYPERGEOMETRIC FUNCTION OF SRIVASTAVA’S H^{λ,l}_{A,p,α}(·)

The paper proposes to employ the extended Beta function B ,l p, (z 1 , z 2 ) introduced by Oraby et al, to degenerated triple hypergeometric function of Srivastava's H A (). Furthermore, a few attributes like integral expression, derivative formulas and several integral transforms of the proposed function are also discussed using the extended Beta function.In addition, we use Wolfram Mathematica and computer algebraic software or object-oriented programming to build a numerical approximation table of this generalized hypergeometric function H ,l A,p, ().

Publication Details

Journal
Poincare Journal of Analysis and Applications
Published
2025-05-31
DOI
https://doi.org/10.46753/pjaa.2025.v012i02.006
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
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article

ESSENTIAL ATTRIBUTES OF THE DEGENERATED TRIPLE HYPERGEOMETRIC FUNCTION OF SRIVASTAVA’S H^{λ,l}_{A,p,α}(·)

Poincare Journal of Analysis and Applications
Advanced Algebra and Geometry
article

ESSENTIAL ATTRIBUTES OF THE DEGENERATED TRIPLE HYPERGEOMETRIC FUNCTION OF SRIVASTAVA’S H^{λ,l}_{A,p,α}(·)

article en

Abstract

The paper proposes to employ the extended Beta function B ,l p, (z 1 , z 2 ) introduced by Oraby et al, to degenerated triple hypergeometric function of Srivastava's H A (). Furthermore, a few attributes like integral expression, derivative formulas and several integral transforms of the proposed function are also discussed using the extended Beta function.In addition, we use Wolfram Mathematica and computer algebraic software or object-oriented programming to build a numerical approximation table of this generalized hypergeometric function H ,l A,p, ().

Poincare Journal of Analysis and ApplicationsVol. 12(2)
Openalex Percentile: Top 78%
Advanced Algebra and Geometry
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ESSENTIAL ATTRIBUTES OF THE DEGENERATED TRIPLE HYPERGEOMETRIC FUNCTION OF SRIVASTAVA’S H^{λ,l}_{A,p,α}(·) · Poincare Journal of Analysis and Applications (2025) | TGRS Research Map | TGRS