Extensions of beta and related functions

Musharraf Ali*, Mohd Ghayasuddin, Richard Bruce Paris

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review


    In this paper, we introduce and investigate a new extension of the beta function by means of an integral operator involving a product of Bessel-Struve kernel functions. We also define a new extension of the well-known beta distribution, the Gauss hypergeometric function and the confluent hypergeometric function in terms of our extended beta function. In addition, some useful properties of these extended functions are also indicated in a systematic way.
    Original languageEnglish
    Pages (from-to)717-729
    Number of pages13
    JournalJournal of Analysis
    Issue number2
    Early online date12 Nov 2021
    Publication statusPublished - 1 Jun 2022


    • Beta functions
    • Extended beta function
    • Gauss hypergeometric function
    • Extended Gauss hypergeometric function
    • Confluent hypergeometric function
    • Extended confluent hypergeometric function
    • Bessel-Struve kernel function
    • Extended beta distribution


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