Algorithm for incomplete Gamma Integral:

  http://www.jstor.org/discover/10.2307/2346339?uid=3737864&uid=2129&uid=2&uid=70&uid=4&sid=21103807043597

Incomplete Gamma function at Wolfram Mathworld:

  http://mathworld.wolfram.com/IncompleteGammaFunction.html

Computational Procedure for incomplete Gamma functions:

  https://www.cs.purdue.edu/homes/wxg/selected_works/section_02/068.pdf

An efficient algorithm for accelerating the convergence of oscillatory series, useful for computing the polylogarithm and Hurwitz zeta functions

  http://arxiv.org/abs/math/0702243

Numerical evaluation of multiple polylogarithms

  http://arxiv.org/pdf/hep-ph/0410259.pdf

Lerch transcendent at Wolfram Mathworld:

  http://mathworld.wolfram.com/LerchTranscendent.html

Arithmetic-Geometric Mean at Wolfram Mathworld:

  http://mathworld.wolfram.com/Arithmetic-GeometricMean.html

MEANS OF COMPLEX NUMBERS

  http://faculty.sfasu.edu/robersonpamel/txcmj/vol1/MeansOfComplexNumbers.PDF

complex arithmetic-geometric mean

  http://planetmath.org/sites/default/files/texpdf/39480.pdf

AN EFFICIENT ALGORITHM FOR ACCELERATING THE CONVERGENCE
OF OSCILLATORY SERIES, USEFUL FOR COMPUTING THE
POLYLOGARITHM AND HURWITZ ZETA FUNCTIONS#

  http://www.linas.org/math/hurwitz.pdf

The Computation of Polylogarithms

  http://kar.kent.ac.uk/21052/1/ThecompD.pdf

Computation of Catalan's constant:

  http://www.gutenberg.org/cache/epub/682/pg682.html
