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Avtomatika i Telemekhanika, 2022, Issue 10, Pages 105–121
DOI: https://doi.org/10.31857/S0005231022100105 (Mi at16055) 		 
Topical issue

A fast algorithm for computing the digamma function

E. A. Karatsuba

Federal Research Center “Computer Science and Control,” Russian Academy of Sciences, Moscow, 119333 Russia
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DOI: https://doi.org/10.31857/S0005231022100105
Abstract: A fast algorithm for calculating the logarithmic derivative of the Euler gamma function based on the BVE method is constructed. The complexity of the algorithm is close to optimal. The structure of the algorithm allows its parallelization.
Keywords: fast algorithms, digamma function, Euler gamma function, calculation complexity, BVE method.
Funding agency Grant number
Russian Science Foundation 22-21-00727
This work was supported by the Russian Science Foundation, project no. 22-21-00727.
Presented by the member of Editorial Board: A. A. Lazarev

Received: 01.02.2022
Revised: 28.04.2022
Accepted: 29.06.2022
English version:
Automation and Remote Control, 2022, Volume 83, Issue 10, Pages 1576–1589
DOI: https://doi.org/10.1134/S00051179220100101
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. A. Karatsuba, “A fast algorithm for computing the digamma function”, Avtomat. i Telemekh., 2022, no. 10, 105–121; Autom. Remote Control, 83:10 (2022), 1576–1589
Citation in format AMSBIB
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\paper A fast algorithm for computing the digamma function
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\pages 105--121
\mathnet{http://mi.mathnet.ru/at16055}
\crossref{https://doi.org/10.31857/S0005231022100105}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4529665}
\edn{https://elibrary.ru/ALDLAI}
\transl
\jour Autom. Remote Control
\yr 2022
\vol 83
\issue 10
\pages 1576--1589
\crossref{https://doi.org/10.1134/S00051179220100101}
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