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

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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 Chebychev’s inequality for synchronous (or… Click to show full 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 Chebychev’s inequality for synchronous (or asynchronous, respectively) mappings, give a new proof of the log-convexity of the extended gamma function by using the Hölder inequality, and introduce a Turán type mean inequality for the Kummer confluent k-hypergeometric function.

Keywords: confluent hypergeometric; kummer confluent; hypergeometric function; gamma function; extended gamma; function

Journal Title: Journal of Inequalities and Applications
Year Published: 2018

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