Note on an integral by Anatolii Prudnikov

DOI10.3934/MATH.2021162OpenAlexW3119483645MaRDI QIDQ2146638

Allan Stauffer, Robert Reynolds

Publication date: 17 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021162

zbMATH Keywords

Mellin transformCauchy integraldefinite integralLerchentries of Prudnikov

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) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) History of mathematics in the 19th century (01A55) Meromorphic functions of one complex variable (general theory) (30D30) Hurwitz and Lerch zeta functions (11M35) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (1)

The Mellin transform of logarithmic and rational quotient function in terms of the Lerch function

Cites Work

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• Definite integrals involving product of logarithmic functions and logarithm of square root functions expressed in terms of special functions

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