Expressions for values of the gamma function
Classical Analysis and ODEs
2013-10-04 v1 Number Theory
Abstract
This paper presents expressions for gamma values at rational points with the denominator dividing 24 or 60. These gamma values are expressed in terms of 10 distinct gamma values and rational powers of and a few real algebraic numbers. Our elementary list of formulas can be conveniently used to evaluate, for example, algebraic Gauss hypergeometric functions by the Gauss identity. Also, algebraic independence of gamma values and their relation to the elliptic K-function are briefly discussed.
Cite
@article{arxiv.math/0403510,
title = {Expressions for values of the gamma function},
author = {Raimundas Vidunas},
journal= {arXiv preprint arXiv:math/0403510},
year = {2013}
}
Comments
14 pages