*N.B. A detailed on-line essay by S. Finch
was the starting point for this entry.*

N. Nielsen (1909) and Ramanujan (Berndt 1985) considered the integrals

(1) |

(2) |

(3) | |||

(4) | |||

(5) | |||

(6) |

**References**

Berndt, B. C. *Ramanujan's Notebooks, Part I.* New York: Springer-Verlag, 1985.

Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/nielram/nielram.html

Flajolet, P. and Salvy, B. ``Euler Sums and Contour Integral Representation.'' Submitted to *Experim. Math* 1997.
http://pauillac.inria.fr/algo/flajolet/Publications/publist.html.

© 1996-9

1999-05-25