Some dual definite integrals for Bessel functions
Howard S. Cohl, Sean J. Nair, Rebekah M. Palmer
TL;DR
This paper derives new exact solutions for certain definite integrals involving Bessel functions by applying the Hankel transform method to known integrals.
Contribution
It introduces a novel application of the Hankel transform to evaluate previously unknown definite integrals of Bessel functions.
Findings
Derived new exact integral solutions involving Bessel functions.
Extended the set of known definite integrals for Bessel functions.
Demonstrated the effectiveness of integral transforms in solving integral problems.
Abstract
Based on known definite integrals of Bessel functions of the first kind, we obtain exact solutions to unknown definite integrals using the method of integral transforms from Hankel's transform.
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Taxonomy
TopicsMathematical functions and polynomials · Fractional Differential Equations Solutions · Mathematical Inequalities and Applications