Abstract
T' Hooft's eigenvalue problem leads to the study of the imaginary part of solutions f(z) of a difference-differential equation (E) which, in a special case, had already been discussed by the author in connection with investigations about water waves. In this paper, we show the possibility of expanding f(z) in a convergent series of fractional powers of a certain holomorphic function near the singularity.
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Lewy, H. Expansion of solutions of t' Hooft's equation. A study in the confluence of analytic boundary conditions. Manuscripta Math 26, 411–421 (1979). https://doi.org/10.1007/BF01170264
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DOI: https://doi.org/10.1007/BF01170264