BOUNDS FOR CONFLUENT HORN FUNCTION Phi(2) DEDUCED BY MCKAY I-nu BESSEL LAW

Dragana jankov Masirevic,Tibor k. Pogany

RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI（2023）

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摘要

The main aim of this article is to derive by probabilistic method new functional and uniform bounds for Horn confluent hypergeometric Phi(2) of two variables and the incomplete Lipschitz-Hankel integral, among others. The main mathematical tools are the representation theorems for the McKay I-nu. Bessel probability distribution's cumulative distribution function (CDF) and certain known and less known properties of CDF.

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关键词

Modified Bessel functions of the first kind, McKay I-v Bessel distribution, confluent Horn Phi(2), Phi(3) functions, incomplete Lipschitz-Hankel integral, Marcum Q function, functional bounding inequality

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