Integrals of Bessel functions
D. Babusci, G. Dattoli, B. Germano, M. R. Martinelli, P. E. Ricci
TL;DR
This paper introduces an operator method to evaluate integrals involving Bessel functions by reducing them to Gaussian functions, providing a new analytical approach.
Contribution
The paper presents a novel operator-based technique for evaluating Bessel function integrals through reduction to Gaussian functions.
Findings
Effective evaluation of Bessel integrals using the proposed method
Reduction of Bessel functions to Gaussian functions simplifies calculations
Potential applications in mathematical physics and engineering
Abstract
We use the operator method to evaluate a class of integrals involving Bessel or Bessel-type functions. The technique we propose is based on the formal reduction of these family of functions to Gaussians.
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Taxonomy
TopicsMathematical functions and polynomials · Advanced Mathematical Identities · Fractional Differential Equations Solutions