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Journal of Siberian Federal University. Mathematics & Physics, 2023, Volume 16, Issue 4, Pages 498–505 (Mi jsfu1097)  
On a note on Apéry-like series with an application

Prathima  Jayaramaa, Arjun Kumar Rathieb

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
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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.
Received: 15.04.2023
Received in revised form: 19.05.2023
Accepted: 24.06.2023
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: English
Citation: Prathima Jayarama, Arjun Kumar Rathie, “On a note on Apéry-like series with an application”, J. Sib. Fed. Univ. Math. Phys., 16:4 (2023), 498–505
Citation in format AMSBIB
\Bibitem{PraRat23}
\by Prathima ~Jayarama, Arjun~Kumar~Rathie
\paper On a note on Ap\'ery-like series with an application
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2023
\vol 16
\issue 4
\pages 498--505
\mathnet{http://mi.mathnet.ru/jsfu1097}
\edn{https://elibrary.ru/UXILND}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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