Article
Kyungpook Mathematical Journal 2018; 58(1): 67-79
Published online March 23, 2018
Copyright © Kyungpook Mathematical Journal.
Generalized Incomplete Pochhammer Symbols and Their Applications to Hypergeometric Functions
Vivek Sahai, and Ashish Verma*
Department of Mathematics and Astronomy, Lucknow University, Lucknow 226007, India, e-mail : sahai_vivek@hotmail.com and vashish.lu@gmail.com
Received: February 10, 2017; Accepted: February 13, 2018
In this paper, we present new generalized incomplete Pochhammer symbols and using this we introduce the extended generalized incomplete hypergeometric functions. We derive certain properties, generating functions and reduction formulas of these extended generalized incomplete hypergeometric functions. Special cases of this extended generalized incomplete hypergeometric functions are also discussed.
Keywords: incomplete gamma functions, incomplete Pochhammer symbols, generalized incomplete hypergeometric functions, Generating functions