Calculation of a Stokes multiplier

Article type: Research Article

Authors: Sibuya, Yasutaka^; | Tabara, Tatsuhiko J.

Affiliations: School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA | Department of Mathematics, Golden Gate University, 536 Mission Street, San Francisco, CA 94105-2968, USA

Note: [] Dedicated to Professor Hugh L. Turrittin on his 90th birthday

Abstract: We will show how to calculate a Stokes multiplier concerning subdominant solutions of a second-order differential equation with polynomial coefficients without utilizing any suitable integral representation of its solutions. This equation is reducible to a biconfluent Huen equation. We use results of isomonodromic deformation of the differential equation.

DOI: 10.3233/ASY-1996-13104

Journal: Asymptotic Analysis, vol. 13, no. 1, pp. 95-107, 1996