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.
