Abstract
Besides application to integration of partial differential equations, the method of integral transforms can be used to obtain closed forms for the solutions of linear integral equations with symmetric kernels.
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Literature Cited
Nikolaev, B. G., The expansion of an arbitrary function in terms of an integral of associated Legendre functions of first kind with complex index, this volume, p. 45.
Lebedev, N. N., Certain Integral Transforms in Mathematical Physics, Dissertation [in Russian] (1951).
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Nikolaev, B.G. (1970). Application of an Integral Transform with Generalized Legendre Kernel to the Solution of Integral Equations with Symmetric Kernels. In: Babich, V.M. (eds) Mathematical Problems in Wave Propagation Theory. Seminars in Mathematics, vol 9. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0334-4_5
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DOI: https://doi.org/10.1007/978-1-4757-0334-4_5
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