Open Mathematics (May 2015)

Properties of k-beta function with several variables

  • Rehman Abdur,
  • Mubeen Shahid,
  • Safdar Rabia,
  • Sadiq Naeem

DOI
https://doi.org/10.1515/math-2015-0030
Journal volume & issue
Vol. 13, no. 1

Abstract

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In this paper, we discuss some properties of beta function of several variables which are the extension of beta function of two variables. We define k-beta function of several variables and derive some properties of this function which are the extension of k-beta function of two variables, recently defined by Diaz and Pariguan [4]. Also, we extend the formula Γk(2z) proved by Kokologiannaki [5] via properties of k-beta function.

Keywords