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

Authors

  • Rakesh Kumar Parmar Dr. Rakesh Kumar Parmar Assistant Professor Department of Mathematics Govt. College of Engineering and Technology, Bikaner Karni Industrial Area, Pugal Road , Bikaner Rajasthan State, India.

Keywords:

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

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.

Author Biography

  • Rakesh Kumar Parmar, Dr. Rakesh Kumar Parmar Assistant Professor Department of Mathematics Govt. College of Engineering and Technology, Bikaner Karni Industrial Area, Pugal Road , Bikaner Rajasthan State, India.

    Assistant Professor
    Department of Mathematics
    Govt. College of Engineering and Technology, Bikaner

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Published

2013-10-21

Issue

Vol. 68 No. 2 (2013)

Section

Articoli

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