A Generalized Gamma-Type Functions Involving Confluent Hypergeometric Mittage-Leffler Function and Associated Probability Distributions
Issue:
Volume 8, Issue 4, August 2022
Pages:
78-84
Received:
23 May 2022
Accepted:
20 June 2022
Published:
21 October 2022
DOI:
10.11648/j.ijtam.20220804.11
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Abstract: Gamma function is one of the important special functions occurring in many branches of mathematical physics and is investigated in detail in a number of literatures in recent years. The main object of this paper is to present a systematic study of a unification and generalization of the gamma-type functions, which is defined here by means of the confluent hypergeometric Mittage- Leffler function. Motivated essentially by the sources of the applications of the Mittage-Leffler functions in many areas of science and engineering, the author present in a unified manner. During the last two decades Mittage – Leffler function has come into prominence after about nine decades of its discovery by a Swedish Mathematician Mittage-Leffler, due to the vast potential of this applications in solving the problems of physical, biological, engineering, and earth sciences. In this article we investigated a probability density function associated with the generalized gamma-type function, together with several other related results in the theory of probability and statistics, are also considered.
Abstract: Gamma function is one of the important special functions occurring in many branches of mathematical physics and is investigated in detail in a number of literatures in recent years. The main object of this paper is to present a systematic study of a unification and generalization of the gamma-type functions, which is defined here by means of the co...
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