Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Some Properties of Extended Hypergeometric Function and its Transformations


Affiliations
1 Department of Mathematics, Amity Institute of Applied Sciences Amity University, Noida, India
     

   Subscribe/Renew Journal


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.
Subscription Login to verify subscription
User
Notifications
Font Size


  • 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.

Abstract Views: 289

PDF Views: 2




  • Some Properties of Extended Hypergeometric Function and its Transformations

Abstract Views: 289  |  PDF Views: 2

Authors

Aparna Chaturvedi
Department of Mathematics, Amity Institute of Applied Sciences Amity University, Noida, India
Prakriti Rai
Department of Mathematics, Amity Institute of Applied Sciences Amity University, 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.

References