Solution of singular integral equations with logarithmic and Cauchy kernels

Chakrabarti, A and Sahoo, T (1996) Solution of singular integral equations with logarithmic and Cauchy kernels. In: Proceedings Mathematical Sciences, 106 (03). pp. 261-270.

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Abstract

A direct method of solution is presented for singular integral equations of the first kind, involving the combination of a logarithmic and a Cauchy type singularity. Two typical cages are considered, in one of which the range of integration is a Single finite interval and, in the other, the range of integration is a union of disjoint finite intervals. More such general equations associated with a finite number (greater than two) of finite, disjoint, intervals can also be handled by the technique employed here.

Item Type:	Journal Article
Publication:	Proceedings Mathematical Sciences
Publisher:	Springer India, in co-publication with Indian Academy of Sciences
Additional Information:	Copyright of this article belongs to Indian Academy Sciences.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	07 Dec 2009 07:06
Last Modified:	13 Apr 2011 05:57
URI:	http://eprints.iisc.ac.in/id/eprint/19710

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