Extension of exton's hypergeometric function K16

Abstract

The purpose of this article is to introduce an extension of Exton's hypergeometric function K16 by using the extended beta function given by Özergin et al. [11]. Some integral representations, generating functions, recurrence relations, transformation formulas, derivative formula and summation formulas are obtained for this extended function. Some special cases of the main results of this paper are also considered.

Keywords

• extended beta function
• extended exton’s function
• integral representations
• generating functions
• recurrence relation
• transformation formula
• derivative formula
• summation formula