J. Sib. Fed. Univ. Math. Phys., 2023 Volume 16, Issue 4, Pages 498–505
(Mi jsfu1097)
On a note on Apéry-like series with an application Prathima Jayarama a ,
Arjun Kumar Rathie b a Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal-576104, India b Department of Mathematics, Vedant College of Engineering and Technology, (Rajasthan Technical University), Bundi, Rajasthan, India Abstract:
The goal of this note is to use a hypergeometric series strategy to build many Apéry-like series. As an application, we obtain several results due to Sherman.
Keywords:
Apéry-like series, factorials, hypergeometric function, summation formulas, Gauss summation theorem, contiguous results, binomial coefficients, combinatorial sums.
UDC:
517.5
Received: 15.04.2023
Received in revised form: 19.05.2023
Accepted: 24.06.2023
Language: English
© , 2024
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