Some Properties of Extended Hypergeometric Function and Its Transformations


Affiliations

  • Amity University, Department of Mathematics, Amity Institute of Applied Sciences, Noida, India

Abstract

There emerges different extended versions of Beta function and hypergeometric functions containing extra parameters. We obtain some properties of certain functions like extended Generalized Gauss hypergeometric functions, extended Confluent hypergeometric functions including transformation formulas, Mellin transformation for the generalized extended Gauss hypergeometric function in one, two and more variables.

Keywords

Extended Gamma and Extended Beta Functions; Extended Gauss hypergeometric Functions; Extended Confluent Hypergeometric Functions; Mellin Transforms

Subject Discipline

Mathematical Sciences

Full Text:

References

L.C. Andrews, Special Functions for Engineers and Applied Mathematicians, New York, McMillan (1985).

M.A. Chaudhry and S.M. Zubair, Generalized incomplete gamma functions with applications, J. Comput. Appl. Math. 55 (1994), 99-124.

M.A. Chaudhry, A. Qadir M. Raque and S.M. Zubair, Extension of Euler's beta function, J. Comput. Appl. Math. 78 (1997), 19-32.

L. Minjie, A Class of Extended Hypergeometric Functions and Its Applications, arXiv:1302.2307v1, [math.CA]. 2013.

E. Ozergin, M.A. Ozarslan and A. Altin, Extension of gamma, beta and hypergeometric functions, J. Comput. Appl. Math., 235 (2011), 4601-4610.

M.A. Ozarslan and E. Ozergin, Some generating relations for extended hypergeometric function via generalized fractional derivative operator, Math. Comput. Model., 52 (2010), 1825-1833.

H.M. Srivastava, R.K. Parmar and P. Chopra, A Class of Extended Fractional Derivative Operators and Associated Generating Relations Involving Hypergeometric Functions, Axioms 2012, I, 238-258.


Refbacks

  • There are currently no refbacks.