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Journals / Cankaya University Journal of Science and Engineering / 2021 / Cilt: 18 - Sayı: 1

A New Extension of Modified Gamma and Beta Functions

Umar Muhammad ABUBAKAR
Salım Rabı'u KABARA
Muhammad Auwal LAWAN
Faısal Adam IDRIS
Pages
9–23
Publication Date
2021-05-01
DOI
—
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AI Summary & Key Takeaways

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

Furthermore, mean, variance and moment generating function for the beta distribution of the new extension of the modified beta function are also obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this research paper, a new extension of modified Gamma and Beta functions is presented and various functional, symmetric, first and second summation relations, Mellin transforms and integral representations are obtained.
📊
Key Findings & Data:In this research paper, a new extension of modified Gamma and Beta functions is presented and various functional, symmetric, first and second summation relations, Mellin transforms and integral representations are obtained.
💡
Conclusion & Impact:Furthermore, mean, variance and moment generating function for the beta distribution of the new extension of the modified beta function are also obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Gamma function · beta function · Mittag-Leffler function

Abstract

In this research paper, a new extension of modified Gamma and Beta functions is presented and various functional, symmetric, first and second summation relations, Mellin transforms and integral representations are obtained. Furthermore, mean, variance and moment generating function for the beta distribution of the new extension of the modified beta function are also obtained.

🔖

Cite This Article

ABUBAKAR, U. M., KABARA, S. R., LAWAN, M. A., IDRIS, F. A. (2021). A New Extension of Modified Gamma and Beta Functions. Cankaya University Journal of Science and Engineering, Cilt: 18 - Sayı: 1, 9–23. https://ajindex.com/articles/745979

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