A note on Bessel function dual integral equation with weight function

A note on Bessel function dual integral equation with weight function

An elementary procedure based on Sonine's integrals has been used to reduce dual integral equations with Bessel functions of different orders as kernels and an arbitrary weight function to a Fredholm integral equation of the second kind. The result obtained here encompasses many results concern...

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Bibliographic Details
Main Author: B. N. Mandal
Format: Article
Language:English
Published: Hindawi Limited 1988-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
dual integral equations
Bessel function
Sonine's integrals
Hankel inversion
Fredholm integral equation.
Online Access:http://dx.doi.org/10.1155/S0161171288000651
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spelling doaj-fc2a9c01d50147ffa0c2ecd60cf5bca32020-11-24T22:39:15ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111354354910.1155/S0161171288000651A note on Bessel function dual integral equation with weight functionB. N. Mandal0Department of Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Calcutta 700009, IndiaAn elementary procedure based on Sonine's integrals has been used to reduce dual integral equations with Bessel functions of different orders as kernels and an arbitrary weight function to a Fredholm integral equation of the second kind. The result obtained here encompasses many results concerning dual integral equations with Bessel functions as kernels known in the literature.http://dx.doi.org/10.1155/S0161171288000651dual integral equationsBessel functionSonine's integralsHankel inversionFredholm integral equation.
collection DOAJ
language English
format Article
sources DOAJ
author B. N. Mandal
spellingShingle B. N. Mandal
A note on Bessel function dual integral equation with weight function
International Journal of Mathematics and Mathematical Sciences
dual integral equations
Bessel function
Sonine's integrals
Hankel inversion
Fredholm integral equation.
author_facet B. N. Mandal
author_sort B. N. Mandal
title A note on Bessel function dual integral equation with weight function
title_short A note on Bessel function dual integral equation with weight function
title_full A note on Bessel function dual integral equation with weight function
title_fullStr A note on Bessel function dual integral equation with weight function
title_full_unstemmed A note on Bessel function dual integral equation with weight function
title_sort note on bessel function dual integral equation with weight function
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1988-01-01
description An elementary procedure based on Sonine's integrals has been used to reduce dual integral equations with Bessel functions of different orders as kernels and an arbitrary weight function to a Fredholm integral equation of the second kind. The result obtained here encompasses many results concerning dual integral equations with Bessel functions as kernels known in the literature.
topic dual integral equations
Bessel function
Sonine's integrals
Hankel inversion
Fredholm integral equation.
url http://dx.doi.org/10.1155/S0161171288000651
work_keys_str_mv AT bnmandal anoteonbesselfunctiondualintegralequationwithweightfunction
AT bnmandal noteonbesselfunctiondualintegralequationwithweightfunction
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