Bernoulli inequality and hypergeometric functions
Riku Kl\'en, Vesna Manojlovi\'c, Slavko Simi\'c, and Matti Vuorinen
TL;DR
This paper explores Bernoulli-type inequalities related to logarithmic functions, specifically focusing on Gaussian hypergeometric functions in the zero-balanced case, providing new inequalities and insights.
Contribution
It introduces new Bernoulli inequalities for logarithmic functions, including Gaussian hypergeometric functions in the zero-balanced case.
Findings
Derived Bernoulli inequalities for hypergeometric functions
Extended classical inequalities to special functions
Provided bounds and properties for zero-balanced hypergeometric functions
Abstract
Bernoulli type inequalities for functions of logarithmic type are given. These functions include, in particular, Gaussian hypergeometric functions in the zero-balanced case
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