DEFINITE INTEGRAL OF LOGARITHMIC FUNCTIONS AND POWERS IN TERMS OF THE LERCH FUNCTION

DOI10.15826/umj.2021.1.008zbMath1484.33030OpenAlexW3198282413MaRDI QIDQ5155577

Robert Reynolds, Allan Stauffer

Publication date: 7 October 2021

Published in: Ural Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umj140

zbMATH Keywords

Lerch functionentries of Gradshteyn and RyzhikKnuth's series

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) (zeta (s)) and (L(s, chi)) (11M06) Other functions coming from differential, difference and integral equations (33E30)

Cites Work

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• Definite integrals involving combinations of powers and logarithmic functions of complicated arguments expressed in terms of the Hurwitz zeta function
• Bose-Einstein condensation for an exponential density of states function and Lerch zeta function

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