Convexity and inequalities related to extended beta and confluent hypergeometric functions

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Abstract

In the paper, the authors establish the logarithmic convexity and some inequalities for the extended beta function and, by using these inequalities for the extended beta function, find the logarithmic convexity and the monotonicity for the extended confluent hypergeometric function.

Original languageEnglish
Pages (from-to)1499-1507
Number of pages9
JournalAIMS Mathematics
Volume4
Issue number5
DOIs
StatePublished - 2019

Keywords

  • Extended beta function
  • Extended confluent hypergeometric function
  • Inequality
  • Logarithmic convexity
  • Monotonicity

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