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Series Involving ψ(z) and ζ(z, s) Functions and Evaluation of Integrals


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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

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