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Published online by Cambridge University Press: 20 January 2009
In a paper which appeared in the Proceedings of the Edinburgh Mathematical Society, Vol. XXXII., Session 1913–14,* I showed how the application of Laplace's transformation to certain linear differential equations enables us to solve some homogeneous integral equations of the first and second kinds, and I obtained, by an extension of this method, the solution of integral equations whose nucleus is of the form f(zt) or ef(z)f(t).
* References to this first paper will be made in the present one under the symbol I, followed by the indication of the paragraph.