NDLI: Derivation of Logarithmic and Logarithmic Hyperbolic Tangent Integrals Expressed in Terms of Special Functions

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Derivation of Logarithmic and Logarithmic Hyperbolic Tangent Integrals Expressed in Terms of Special Functions

Content Provider	MDPI
Author	Reynolds, Robert Stauffer, Allan
Copyright Year	2020
Description	The derivation of integrals in the table of Gradshteyn and Ryzhik in terms of closed form solutions is always of interest. We evaluate several of these definite integrals of the form $\int0\inftylog(1\pme-αy)R(k,a,y)dy$ in terms of a special function, where $R(k,a,y)$ is a general function and k, a and $α$ are arbitrary complex numbers, where $Re(α)>0$ .
Starting Page	687
e-ISSN	22277390
DOI	10.3390/math8050687
Journal	Mathematics
Issue Number	5
Volume Number	8
Language	English
Publisher	MDPI
Publisher Date	2020-05-01
Access Restriction	Open
Subject Keyword	Mathematics Logic Aton Winckler Hyperbolic Tangent Logarithmic Function Definite Integral Hankel Contour Cauchy Integral Gradshteyn and Ryzhik Bierens De Haan
Content Type	Text
Resource Type	Article

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