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On evaluation of integrals involving Bessel functions

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arxiv 1111.0881 v1 pith:ZKET3G7T submitted 2011-11-03 math.CA math-phmath.MP

D. Babusci , G. Dattoli This is my paper · ORCID
classification math.CAmath-phmath.MP
keywords evaluationfunctionsintegralsbesselmethodassociatedcombinationscontaining
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We introduce a symbolic method for the evaluation of definite integrals containing combinations of various functions, including exponentials, logarithm and products of Bessel functions of different types. The method we develop is naturally suited for the evaluation of integrals associated with specific Feynman diagrams.

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  1. Operational vs. Umbral Methods and Borel Transform

    math.CA 2019-08 conditional novelty 3.0 of 10

    The authors present symbolic operator techniques, based on umbral and Borel methods, that turn many special-function integrals and generating functions into formal algebraic manipulations.

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