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Generalizing Sato’s conjecture for the Weber equation in exact WKB analysis, we explicitly determine the Voros coefficient of the Whittaker equation with a large parameter. By using our results we also compute alien derivatives of WKB solutions of the Whittaker equation at the so-called fixed singular points of their Borel transform. 2010 Mathematics Subject Classification: 34M30, 34M37, 34M55, 34M60.

On the Voros Coefficient for the Whittaker Equation with a Large Parameter – Some Progress around Sato's Conjecture in Exact WKB Analysis