Abstract
In this paper, we have derived and evaluated a quadruple integral whose kernel involves the logarithm and product of Bessel functions of the first kind. A new quadruple integral representation of Catalan’s G and Apéry’s ζ(3) constants are produced. Some special cases of the result in terms of fundamental constants are evaluated. All the results in this work are new.
Funder
Natural Sciences and Engineering Research Council
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
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