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Voros coefficients of the Gauss hypergeometric differential equation with a large parameter. (English) Zbl 1483.33003

Summary: The Voros coefficient of the Gauss hypergeometric differential equation with a large parameter is defined for the origin and its explicit form and the details of derivation are given.

MSC:

33C05 Classical hypergeometric functions, \({}_2F_1\)
34M40 Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain
34M60 Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent)
Full Text: DOI

References:

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