Chebychev interpolations of the Gamma and Polygamma Functions and their analytical properties

2016/05/02 by Karl Dieter Reinartz, Reinartz, Karl Dieter
Mathematics · #33B15 #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1605.02776

openalex publication_date 2016/05/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Chebychev approximations are given for the Gamma and the Polygamma functions in only one contiguous intervall [1..inf] with a definable maximal relative error. The approximations need about three coefficients per decimal until a checked precision of 100 decimal digits.

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