Infinite integrals involving Bessel functions by contour integration

DOI10.1080/10652469.2012.758119zbMath1285.33007OpenAlexW2080715214MaRDI QIDQ2867906

Qiong-Gui Lin

Publication date: 20 December 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.758119

zbMATH Keywords

Hankel transformBessel functionscontour integrationinfinite integralsNeumann functionsStruve functionsWeber functionsAnger functions

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Other special orthogonal polynomials and functions (33C47)

Related Items (1)

Infinite integrals involving Bessel functions by an improved approach of contour integration and the residue theorem

Uses Software

• DLMF

Cites Work

• Unnamed Item
• On a Bessel function integral
• Simple analytical approximations to the integrals of the Bessel functionsJ_ν: application to the transmittance of a circular aperture
• A novel class of Bessel function integrals
• Some integrals involving three Bessel functions when their arguments satisfy the triangle inequalities
• Infinite integrals of Whittaker and Bessel functions with respect to their indices
• Integrals of three Bessel functions and Legendre functions. I
• Integrals of some three Bessel functions and Legendre functions. II
• Some integrals involving three modified Bessel functions. I
• Some integrals involving three modified Bessel functions. II
• A note on certain integrals of Bessel functions
• Infinite Integrals Involving Three Spherical Bessel Functions
• Numerical evaluation of integrals containing a spherical Bessel function by product integration
• Hypervirial calculation of integrals involving Bessel functions
• Analytic expressions for integrals of products of spherical Bessel functions
• On the evaluation of the integral over the product of two spherical Bessel functions
• On an integral with modified Bessel function
• Integrals of Products of Bessel Functions
• A class of discontinuous integrals involving Bessel functions
• A class of Bessel function integrals with application in particle physics
• Comment on ‘Analytical results for a Bessel function times Legendre polynomials class integrals’
• Analytical results for a Bessel function times Legendre polynomials class integrals
• On an integral with modified Bessel function

This page was built for publication: Infinite integrals involving Bessel functions by contour integration