JournalsprimsVol. 47, No. 1pp. 375–395

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

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

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.

Cite this article

Tatsuya Koike, Yoshitsugu Takei, On the Voros Coefficient for the Whittaker Equation with a Large Parameter – Some Progress around Sato's Conjecture in Exact WKB Analysis. Publ. Res. Inst. Math. Sci. 47 (2011), no. 1, pp. 375–395

DOI 10.2977/PRIMS/39