Integral representations of some series involving (k 2k)-1 k-n and some related series

Applied Mathematics and Computation

Volumn 147, Issue 3, 2004, Pages 645-667

  Batir, Necdet ^a  

^a YUZUNCU YIL UNIVERSITY   (Turkey)

Author keywords

Catalan constant; Integral representations; Log sine integrals; Polylogarithms; Riemann zeta function; Special functions

Indexed keywords

FUNCTIONS; INTEGRATION; NUMERICAL ANALYSIS; THEOREM PROVING;

POLYLOGARITHMS;

COMPUTATIONAL METHODS;

EID: 0141989963     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00802-0     Document Type: Article

References (7)

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2. Berndt B.C. Ramanujan's Notebooks, Part 1. 1985;Springer, New York.
3. Borwein J.M., Bradley D.M. Empirically determined Apéry like formulas for. ζ(4n+3) Experimental Mathematics. 6:1997;181-194.
4. Bradley D.M. A class of acceleration formulae for Catalan's constant. The Ramanujan Journal. 3:1999;159-173.
5. Lewin L. Polylogarithms and Associated Functions. 1981;North-Holland, New York.
6. Stromberg K.R. An Introduction to classical real analysis. 1981;Wadsworth, Belmont, CA.
7. -n and related sums Journal of Number Theory. 20:1985;92-102.