Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric $k$-function - Archive ouverte HAL Access content directly
Journal Articles Journal of Inequalities and Applications Year : 2018

Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric $k$-function

Abstract

In the paper, the authors present some inequalities involving the extended gamma function and the Kummer confluent hypergeometric $k$-function via some classical inequalities such as the Chebychev inequality for synchronous (or asynchronous, respectively) mappings, give a new proof of the log-convexity of the extended gamma function by using the H\"older inequality, and introduce a Tur\'an type mean inequality for the Kummer confluent $k$-hypergeometric function.
Fichier principal
Vignette du fichier
JIAP-D-18-00154.pdf (350.72 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01701647 , version 1 (06-02-2018)
hal-01701647 , version 2 (19-01-2020)

Identifiers

Cite

Kottakkaran Sooppy Nisar, Feng Qi, Gauhar Rahman, Shahid Mubeen, Muhammad Arshad. Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric $k$-function. Journal of Inequalities and Applications, 2018, 2018 (Paper No. 135), 12 p. ⟨10.1186/s13660-018-1717-8⟩. ⟨hal-01701647v2⟩
170 View
492 Download

Altmetric

Share

Gmail Facebook X LinkedIn More