Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (123 kB)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/jsfu1097
  • https://www.mathnet.ru/eng/jsfu/v16/i4/p498
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
    Statistics & downloads:
    Abstract page:47
    Full-text PDF :36
    References:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024