On Solving Some Trigonometric Series
Abstract
This communication shows the track for finding a solution for a sin(kx)/k**2 series and a fresh representation for the Euler's Gamma function in terms of Riemann's Zeta function. We have found a new series expression for the logarithm as a side effect. The new series are useful both for analysis, approximations and asymptotic studies.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2013
- DOI:
- 10.48550/arXiv.1308.2626
- arXiv:
- arXiv:1308.2626
- Bibcode:
- 2013arXiv1308.2626S
- Keywords:
-
- Mathematics - General Mathematics;
- 11M32;
- 11M41;
- 30B50;
- 41A58;
- 33B15;
- 42A24;
- 42A32
- E-Print:
- 12 pages, 2 figures