A new generalization of gamma, beta hypergeometric and confluent hypergeometric functions

Abstract

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

Keywords

• Gamma function
• Beta function
• Hypergeometric function
• Confluent hypergeometric function
• Mellin transform representation