An improved procedure for the accurate evaluation of polygamma functions with integer and half-integer argument

DOI10.1016/0010-4655(86)90095-0zbMath0679.65007OpenAlexW2127409711MaRDI QIDQ1822886

Frank Di Marzio

Publication date: 1986

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(86)90095-0

zbMATH Keywords

polygamma functionsaccurate evaluationhalf-integer argumenttruncated Riemann zeta function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Computation of special functions and constants, construction of tables (65D20)

Related Items (1)

The very accurate summation of inverse powers and the generation of Bernoulli and Euler numbers

Cites Work

• A program for computing the Riemann zeta function for complex argument
• An extension to polygamma functions of a theorem of Gauss

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