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Clausen's Integral


The Clausen Function

\mathop{\it Cl}\nolimits _2(\theta)=-\int_0^\theta \ln[2\sin({\textstyle{1\over 2}}t)]\,dt.

See also Clausen Function


Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 1005-1006, 1972.

Ashour, A. and Sabri, A. ``Tabulation of the Function $\psi(\theta)=\sum_{n=1}^\infty {\sin(n\theta)\over n^2}$.'' Math. Tables Aids Comp. 10, 54 and 57-65, 1956.

Clausen, R. ``Über die Zerlegung reeller gebrochener Funktionen.'' J. reine angew. Math. 8, 298-300, 1832.

© 1996-9 Eric W. Weisstein