Email this article Series Involving ψ(z) and ζ(z, s) Functions and Evaluation of Integrals
- Authors: Brychkov Y.A.1, Savischenko N.V.2
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Affiliations:
- Dorodnicyn Computing Center
- Military Academy of Telecommunications
- Issue: Vol 40, No 7 (2019)
- Pages: 954-963
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205026
- DOI: https://doi.org/10.1134/S1995080219070102
- ID: 205026
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Abstract
The connection is considered between integrals and series involving polygamma ψ (z) and zeta ζ (z, s) functions, Bernoulli Bn (z) and Euler En (z) polynomials, and Bernoulli Bn and Euler En numbers.
About the authors
Yu. A. Brychkov
Dorodnicyn Computing Center
Author for correspondence.
Email: yua@rambler.ru
Russian Federation, Moscow, 119333
N. V. Savischenko
Military Academy of Telecommunications
Author for correspondence.
Email: snikaspb@mail.ru
Russian Federation, St. Petersburg, 194064
