Bounds for Incomplete Confluent Fox–Wright Generalized Hypergeometric Functions

Tibor K. Pogány ()
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Tibor K. Pogány: Institute of Applied Mathematics, John von Neumann Faculty of Informatics, Óbuda University, Bécsi út 96/b, 1034 Budapest, Hungary

Mathematics, 2022, vol. 10, issue 17, 1-11

Abstract: 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 ν 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.

Keywords: modified Bessel functions of the first kind; McKay’s \({I_\nu}\) Bessel distribution; lower incomplete Fox–Wright functions; cumulative distribution function; functional bounding inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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