Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function

Shilpi Jain, Rahul Goyal, Praveen Agarwal, Antonella Lupica and Clemente Cesarano
Additional contact information
Shilpi Jain: Department of Mathematics, Poornima College of Engineering, Jaipur 302021, India
Rahul Goyal: Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India
Praveen Agarwal: Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India
Antonella Lupica: Department of Economics, Engineering, Society and Business Organization-DEIM Department, Tuscia University, 01100 Viterbo, Italy
Clemente Cesarano: Section of Mathematics, International Telematic University Uninettuno, 00186 Roma, Italy

Mathematics, 2021, vol. 9, issue 22, 1-21

Abstract: The main aim of this research paper is to introduce a new extension of the Gauss hypergeometric function and confluent hypergeometric function by using an extended beta function. Some functional relations, summation relations, integral representations, linear transformation formulas, and derivative formulas for these extended functions are derived. We also introduce the logarithmic convexity and some important inequalities for extended beta function.

Keywords: classical Euler beta function; gamma function; Gauss hypergeometric function; confluent hypergeometric function; Mittag-Leffler function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/22/2944/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/22/2944/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:22:p:2944-:d:682072

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().