Gene

Physics

Quadratic equation

Mathematical analysis

Function (biology)

Gaussian

Hypergeometric distribution

Chemistry

Hypergeometric function

Pure mathematics

Transformation (genetics)

Geometry

Applied mathematics

Mathematics

Inequality

Biochemistry

Quantum mechanics

Gaussian function

Evolutionary biology

Biology

Basic hypergeometric series

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas

In the article, we present several Landen inequalities, and quadratic and cubic transformation inequalities for general Gaussian hypergeometric function $$_2F_1(a,b;c;x)$$ 2 F 1 ( a , b ; c ; x ) . Our obtained results are the generalizations and improvements of the previously known results.

Landen inequalities for Gaussian hypergeometric function