Abstract
In this paper, we introduce and investigate a new extension of the beta function by means of an integral operator involving a product of Bessel-Struve kernel functions. We also define a new extension of the well-known beta distribution, the Gauss hypergeometric function and the confluent hypergeometric function in terms of our extended beta function. In addition, some useful properties of these extended functions are also indicated in a systematic way.
Original language | English |
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Pages (from-to) | 717-729 |
Number of pages | 13 |
Journal | Journal of Analysis |
Volume | 30 |
Issue number | 2 |
Early online date | 12 Nov 2021 |
DOIs | |
Publication status | Published - 1 Jun 2022 |
Keywords
- Beta functions
- Extended beta function
- Gauss hypergeometric function
- Extended Gauss hypergeometric function
- Confluent hypergeometric function
- Extended confluent hypergeometric function
- Bessel-Struve kernel function
- Extended beta distribution