2004/03/30 by Raimundas Vidunas, Raimundas VIDUNAS · 1 voice
Mathematics · #Advanced Mathematical Identities #Functional Equations Stability Results #Mathematical functions and polynomials #math.CA #math.NT
paper · pdf · doi:10.2206/kyushujm.59.267
arxiv published 2004/03/30 · arxiv updated 2004/03/30 · openalex publication_date 2005/01/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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 π and a few real algebraic numbers. Our systematic list of formulas can be conveniently used to evaluate, for example, algebraic Gauss hypergeometric functions by the Gauss identity. In addition, algebraic independence of gamma values and their relation to the elliptic K-function are briefly discussed.