BOUNDS FOR THE (p, )-EXTENDED BETA FUNCTION AND CERTAIN CONSEQUENCES

Gradimir V. Milovanovic,Rakesh K. Parmar,Tibor K. Pogany

JOURNAL OF MATHEMATICAL INEQUALITIES（2023）

Cited 0|Views4

No score

Abstract

Our main goal in this article is to present both upper and lower bounds for the (p, nu)extended Gauss' hypergeometric function and the related confluent hypergeometric (or Kummer's) function, the modified Bessel function of the second kind, with the extended Gautschi- Pinelis inequality (upper bounds) and with the aid of the classical Bernoulli inequality (lower bounds) and also inferring associated functional bounds for the (p, nu) -extended Beta function.

Translated text

Key words

(p, nu)-extended Beta function,(p, nu)-extended Gaussian hypergeometric function,(p, nu)-extended confluent hypergeometric function,integral representations,upper incomplete Gamma function,Gautschi inequality,Bernoulli inequality,modified Bessel function of the second kind

AI Read Science

Must-Reading Tree

Example

Generate MRT to find the research sequence of this paper

Chat Paper

Summary is being generated by the instructions you defined