English

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

Classical Analysis and ODEs 2016-05-11 v1

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.

Keywords

Cite

@article{arxiv.1605.02776,
  title  = {Chebychev interpolations of the Gamma and Polygamma Functions and their analytical properties},
  author = {Karl Dieter Reinartz},
  journal= {arXiv preprint arXiv:1605.02776},
  year   = {2016}
}

Comments

13 pages, 7 figures, 5 tables