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Painlevé solution of an integral equation. (English) Zbl 1241.45001

MSC:
 45B05 Fredholm integral equations 45A05 Linear integral equations 34M55 Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies 33C10 Bessel and Airy functions, cylinder functions, $${}_0F_1$$ 33E10 Lamé, Mathieu, and spheroidal wave functions
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