Confluent hypergeometric function

Hypergeometric distribution

Hypergeometric function

Pure mathematics

Mathematics

Evolutionary biology

Biology

Basic hypergeometric series

Generalized hypergeometric function

Mathematical analysis

Philosophy

Function (biology)

Linguistics

Inequality

Zero (linguistics)

Monotonic function

Applied mathematics

Mathematical Inequalities & Applications

In the article, we present a monotonicity property involving the zero-balanced hypergeometric function F(a,b;a + b;x) for all a,b > 0 , and establish several sharp inequalities for F (a,b;a + b;x) in the first quadrant of ab -plane, which are the generalizations of the previously results.

Monotonicity and inequalities involving zero-balanced hypergeometric function