Evaluations of some terminating hypergeometric 2F1(2) series with applications

Yongsup Kim*, Arjun Kumar Rathie, Richard Bruce Paris

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)
    48 Downloads (Pure)


    Explicit expressions for the hypergeometric series 2F1(-n, a; 2a±j; 2) and 2F1(-n, a;-2n±j; 2) for positive integer n and arbitrary integer j are obtained with the help of generalizations of Kummer's second and third summation theorems obtained earlier by Rakha and Rathie. Results for |j| ≤ 5 derived previously using different methods are also obtained as special cases. Two applications are considered, where the first summation formula is applied to a terminating 3F2(2) series and the confluent hypergeometric function 1F1(x).

    Original languageEnglish
    Pages (from-to)2563-2575
    Number of pages13
    JournalTurkish Journal of Mathematics
    Issue number5
    Publication statusPublished - 27 Sep 2018


    Dive into the research topics of 'Evaluations of some terminating hypergeometric <sub>2</sub>F<sub>1</sub>(2) series with applications'. Together they form a unique fingerprint.

    Cite this