Work

Some Inequalities of Extended Hypergeometric Functions

Year: 2021

Type: article

Abstract: Hypergeometric functions and their inequalities have found frequent applications in various fields of mathematical sciences. Motivated by the above, we set up certain inequalities including extended type Gauss hypergeometric function and confluent hypergeometric function, respectively, by virtue of Hölder integral inequality and Chebyshev’s integral inequality. We also studied the monotonicity, log-concavity, and log-convexity of extended hypergeometric functions, which are derived by using the inequalities on an extended beta function.

Source: Mathematics

DOI: 10.3390/math9212702

Authors: Shilpi Jain, Rahul Goyal, Praveen Agarwal, Juan L. G. Guirao

Institutions: Poornima Institute of Engineering and Technology, Anand International College of Engineering, Harish-Chandra Research Institute, King Abdulaziz University, Universidad Politécnica de Cartagena

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,728

Funders: Ministerio de Ciencia, Innovación y Universidades, Science and Engineering Research Board