Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 11, Page 1815
DOI: https://doi.org/10.31857/S0044466923110200 (Mi zvmmf11644) 		 
General numerical methods

Triple series evaluated in $\pi$ and $\ln 2$ as well as Catalan’s constant $\mathrm{G}$

C. Li, W. Chu

School of Mathematics and Statistics Zhoukou Normal University Henan, China
DOI: https://doi.org/10.31857/S0044466923110200
Abstract: By computing definite integrals, several infinite triple series are explicitly evaluated in terms of $\pi$ and $\ln 2$ as well as Catalan’s constant $\mathrm{G}$.
Key words: infinite series, definite integral, hartial fraction decomposition.
Received: 07.06.2023
Revised: 07.06.2023
Accepted: 25.07.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 11, Pages 2005–2023
DOI: https://doi.org/10.1134/S0965542523110143
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: English
Citation: C. Li, W. Chu, “Triple series evaluated in $\pi$ and $\ln 2$ as well as Catalan’s constant $\mathrm{G}$”, Zh. Vychisl. Mat. Mat. Fiz., 63:11 (2023), 1815; Comput. Math. Math. Phys., 63:11 (2023), 2005–2023
Citation in format AMSBIB
\Bibitem{LiChu23}
\by C.~Li, W.~Chu
\paper Triple series evaluated in $\pi$ and $\ln 2$ as well as Catalan’s constant $\mathrm{G}$
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 11
\pages 1815
\mathnet{http://mi.mathnet.ru/zvmmf11644}
\crossref{https://doi.org/10.31857/S0044466923110200}
\elib{https://elibrary.ru/item.asp?id=54720587}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 11
\pages 2005--2023
\crossref{https://doi.org/10.1134/S0965542523110143}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11644
  • https://www.mathnet.ru/eng/zvmmf/v63/i11/p1815
    Erratum
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Æóðíàë âû÷èñëèòåëüíîé ìàòåìàòèêè è ìàòåìàòè÷åñêîé ôèçèêè Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:50
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025