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

  • Tatsuya Koike

    Kyoto University, Japan
  • Yoshitsugu Takei

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

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 xed 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