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Fundam. Prikl. Mat., 2001, Volume 7, Issue 2, Pages 615–619 (Mi fpm562)  

Mathematical Enlightenment

Logarithmic analog of Leibnitz series and some integrals connected with the Riemann zeta function

Yu. I. Babenko, A. I. Moshinskii

Russian Research Centre "Applied Chemistry"

Abstract: A new expression for the analog of the Leibnitz series with alternating signs, which contains the multipliers depending on the logarithm of the term's number, is obtained. The values of some definite integrals connected with the above series are found.

Full text: PDF file (153 kB)

Bibliographic databases:
UDC: 517.3
Received: 01.01.1997

Citation: Yu. I. Babenko, A. I. Moshinskii, “Logarithmic analog of Leibnitz series and some integrals connected with the Riemann zeta function”, Fundam. Prikl. Mat., 7:2 (2001), 615–619

Citation in format AMSBIB
\Bibitem{BabMos01}
\by Yu.~I.~Babenko, A.~I.~Moshinskii
\paper Logarithmic analog of Leibnitz series and some integrals connected with the Riemann zeta function
\jour Fundam. Prikl. Mat.
\yr 2001
\vol 7
\issue 2
\pages 615--619
\mathnet{http://mi.mathnet.ru/fpm562}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1866478}
\zmath{https://zbmath.org/?q=an:1028.11049}


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