The Logarithmic Transform of a Polynomial Function Expressed in Terms of the Lerch Function

Robert Reynolds and Allan Stauffer
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Robert Reynolds: Department of Mathematics and Statistics, York University, Toronto, ON M3J1P3, Canada
Allan Stauffer: Department of Mathematics and Statistics, York University, Toronto, ON M3J1P3, Canada

Mathematics, 2021, vol. 9, issue 15, 1-11

Abstract: This is a collection of definite integrals involving the logarithmic and polynomial functions in terms of special functions and fundamental constants. All the results in this work are new.

Keywords: beta function; logarithmic transform; contour integral; Catalan’s constant; Aprey’s constant (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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