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Stokes multipliers for a certain third order differential equation of W. B. Ford’s type. (English) Zbl 0791.34009

A certain linear third order differential equation of Fuchs type with complex independent variable \(z\) is investigated. The aim of this paper is to solve this equation in the large under certain suppositions on the polynomial coefficients, on the roots of the indicial equation about \(z=0\) and on the indicial exponents about \(z=\infty\).

MSC:

34M99 Ordinary differential equations in the complex domain
34E05 Asymptotic expansions of solutions to ordinary differential equations
34E20 Singular perturbations, turning point theory, WKB methods for ordinary differential equations
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
34D05 Asymptotic properties of solutions to ordinary differential equations
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