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Dual integral equations with trigonometrical kernels†
Published online by Cambridge University Press: 18 May 2009
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In the analysis of mixed boundary value problems in the plane, we encounter dual integral equations of the type
If we make the substitutions cos we obtain a pair of dual integral equations of the Titchmarsh type [1, p. 334] with α = − 1, v = − ½ (in Titchmarsh's notation). This is a particular case which is not covered by Busbridge's general solution [2], so that special methods have to be derived for the solution.
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- Copyright © Glasgow Mathematical Journal Trust 1962
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