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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 72 Issue: 3

On the extended Wright hypergeometric matrix function and its properties

Halil Gezer(Temel ve Insani Bilimler Bolumu-Uluslararasi Kibris Universitesi)0000-0002-1248-989X
Cem Kaanoglu(CYPRUS INTERNATIONAL UNIVERSITY)0000-0001-7733-041X
Pages
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Publication Date
2023-09-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We also derive some properties of the corresponding incomplete extended Wright hypergeometric matrix function.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Recently, Bakhet et al. [9] presented the Wright hypergeometric matrix function $_{2}R_{1}^{(\tau )}(A,B;C;z)$ and derived several properties.
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Key Findings & Data:Abdalla [6] has since applied fractional operators to this function.
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Conclusion & Impact:We also derive some properties of the corresponding incomplete extended Wright hypergeometric matrix function.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Wright hypergeometric matrix function · generalized hypergeometric functions · Riemann-Liouville fractional derivative

Abstract

Recently, Bakhet et al. [9] presented the Wright hypergeometric matrix function $_{2}R_{1}^{(\tau )}(A,B;C;z)$ and derived several properties. Abdalla [6] has since applied fractional operators to this function. In this paper, with the help of the generalized Pochhammer matrix symbol $(A;B)_{n}$ and the generalized beta matrix function $\mathcal{B}(P,Q;\mathbb{X})$, we introduce and study an extended form of the Wright hypergeometric matrix function, $_{2}R_{1}^{(\tau )}((A,\mathbb{A}),B;C;z;\mathbb{X}).$ We establish several potentially useful results for this extended form, such as integral representations and fractional derivatives. We also derive some properties of the corresponding incomplete extended Wright hypergeometric matrix function.

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Cite This Article

Gezer, H., Kaanoglu, C. (2023). On the extended Wright hypergeometric matrix function and its properties. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 72 Issue: 3. https://doi.org/10.31801/cfsuasmas.1147745

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