The solution of some integral equations and their connection with dual integral equations and series

1 January 1970

journal article
research article
Published by Cambridge University Press (CUP) in Glasgow Mathematical Journal

Vol. 11 (1), 9-20
https://doi.org/10.1017/s0017089500000793

Abstract

The equations. We shall solve the equation giving the solution in two forms, and give a new solution of originally solved by Carlemann.The latter will be extended to the case where the limits are a and b with a < x <b.

Keywords

This publication has 7 references indexed in Scilit:

Solution of a class of singular integral equations
Quarterly of Applied Mathematics, 1967
An improved method for dual trigonometrical series
Proceedings of the Glasgow Mathematical Association, 1964
A Note on Dual Equations With Trigonometrical Kernels
Proceedings of the Edinburgh Mathematical Society, 1963
Dual Trigonometrical Series
Proceedings of the Glasgow Mathematical Association, 1959
SINGULAR INTEGRAL EQUATIONS
Published by Elsevier ,1957
On the problem of the electrified disc
Proceedings of the Edinburgh Mathematical Society, 1947
Über die Abelsche Integralgleichung mit konstanten Integrationsgrenzen
Mathematische Zeitschrift, 1922

Cited by 49 articles