arb/doc/source/credits.rst

.. _credits:

Credits and references
===============================================================================

Arb is licensed GNU General Public License version 2, or any later version.

Fredrik's work on Arb is supported by Austrian Science Fund FWF Grant Y464-N18
(Fast Computer Algebra for Special Functions).

Arb includes code by Bill Hart and
Sebastian Pancratz taken from FLINT (also licensed GPL 2.0+).

Software 
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The following software has been helpful in the development of Arb.

* GMP (Torbjörn Granlund and others), http://gmplib.org
* MPIR (Brian Gladman, Jason Moxham, William Hart and others), http://mpir.org
* MPFR (Guillaume Hanrot, Vincent Lefèvre, Patrick Pélissier, Philippe Théveny, Paul Zimmermann and others), http://mpfr.org
* FLINT (William Hart, Sebastian Pancratz, Andy Novocin, Fredrik Johansson, David Harvey and others), http://flintlib.org
* Sage (William Stein and others), http://sagemath.org
* SymPy (Ondřej Čertík, Aaron Meurer and others), http://sympy.org
* mpmath (Fredrik Johansson and others), http://mpmath.org
* Mathematica (Wolfram Research), http://www.wolfram.com/mathematica
* HolonomicFunctions (Christoph Koutschan), http://www.risc.jku.at/research/combinat/software/HolonomicFunctions/
* Sphinx (George Brandl and others), http://sphinx.pocoo.org

Bibliography
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.. [BZ1992]_ \J. Borwein and I. Zucker, "Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind", IMA Journal of Numerical Analysis 12 (1992) 519-526

.. [Bor1987]_ \P. Borwein, "Reduced complexity evaluation of hypergeometric functions", Journal of Approximation Theory 50:3 (1987)

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.. [BJ2013] \R. P. Brent and F. Johansson, "A bound for the error term in the Brent-McMillan algorithm", preprint (2013), http://arxiv.org/abs/1312.0039

.. [BZ2011] \R. P. Brent and P. Zimmermann, *Modern Computer Arithmetic*, Cambridge University Press (2011), http://www.loria.fr/~zimmerma/mca/pub226.html

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.. [Joh2013] \F. Johansson, "Rigorous high-precision computation of the Hurwitz zeta function and its derivatives", preprint (2013), http://arxiv.org/abs/1309.2877

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.. [MPFR2012] The MPFR team, "MPFR Algorithms" (2012), http://www.mpfr.org/algo.html

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