The polygamma function Ψ(k)(x) for x=¼ and x=¾

  • Authors:

  • K. S. Kölbig

  • Affiliations:

  • Computing and Networks Division, CERN, CH-1211 Genève 23, Switzerland

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 1996

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Abstract

Expressions for the polygamma function @j^(^k^)(x) for the arguments x=14 and x=14 are given in terms of Bernoulli numbers, Euler numbers, the Riemann zeta function for odd integer arguments, and the related series of reciprocal powers of integers @b(m).