Bounds for Incomplete Confluent Fox-Wright Generalized Hypergeometric Functions

We establish several new functional bounds and uniform bounds (with respect to the variable) for the lower incomplete generalized Fox-Wright functions by means of the representation formulae for the McKay I-v Bessel probability distribution's cumulative distribution function. New cumulative distribution functions are generated and expressed in terms of lower incomplete Fox-Wright functions and/or generalized hypergeometric functions, whilst in the closing part of the article, related bounding inequalities are obtained for them.

Automated summary

In this article, we establish new functional bounds and uniform bounds for the lower incomplete generalized Fox-Wright functions by using the representation formulae for the McKay I-v Bessel probability distribution's cumulative distribution function. New cumulative distribution functions are generated and expressed in terms of lower incomplete Fox-Wright functions and/or generalized hypergeometric functions. In addition, bounding inequalities are obtained for these functions.