Generalized Beta Function Defined by Wright Function

2018/03/05 by Enes Ata, Ata, Enes
Engineering · Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Water Systems and Optimization

paper · pdf · doi:10.48550/arxiv.1803.03121

openalex publication_date 2018/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main object of this paper is to present generalizations of gamma, beta and hypergeometric functions. Some recurrence relations, transformation formulas, operation formulas and integral representations are obtained for these new generalizations.

Related

• A new generalization of beta function with three parameters Mittag-Leffler function
• Extende beta, hypergeometric and confluent hypergeometric functions
• On an extension of extended Beta and hypergeometric functions
• Extensions of beta and related functions
• A Class of Extended Hypergeometric Functions and Its Applications