Abstract
Hypergeometric functions are extensions and generalizations of the
geometric series, and the process of generalization of hypergeometric series started in
the 19th century itself. Thus, the subject of hypergeometrics has a rich history and led
to renewed interest. Many mathematicians have presented the hypergeometric
function in different ways and explained its properties. Recently, Srivastava et al. [9]
represented hypergeometric functions in different forms with the help of incomplete
pochhammer symbols. This paper is an attempt to present some new results for the
incomplete hypergeometric function.
Keywords: Generalized incomplete hypergeometric function, incomplete gamma function, incomplete pochhammer symbols, and decomposition formula.