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

Authors :
Brychkov, Yu. A.
Savischenko, N. V.
Source :
Lobachevskii Journal of Mathematics; Jul2019, Vol. 40 Issue 7, p954-963, 10p
Publication Year :
2019

Abstract

The connection is considered between integrals and series involving polygamma ψ (z) and zeta ζ (z, s) functions, Bernoulli B<subscript>n</subscript> (z) and Euler E<subscript>n</subscript> (z) polynomials, and Bernoulli B<subscript>n</subscript> and Euler E<subscript>n</subscript> numbers. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
19950802
Volume :
40
Issue :
7
Database :
Complementary Index
Journal :
Lobachevskii Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
137792775
Full Text :
https://doi.org/10.1134/S1995080219070102