TL;DR
This paper introduces a novel integral representation based on Cauchy's definite integral, enabling the evaluation of various integrals involving finite series of special functions.
Contribution
It presents an extended Cauchy integral formula that simplifies the computation of integrals with special functions, expanding the classical integral's applicability.
Findings
Derived a new integral representation using Cauchy's definite integral.
Successfully evaluated multiple integrals involving finite series of special functions.
Extended the classical Cauchy integral to broader applications.
Abstract
A new integral representation is derived using a definite integral given by Cauchy and used to evaluate a number of integrals containing the finite series of special functions.
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Taxonomy
TopicsMathematical and Theoretical Analysis