Calculation of Stokes multipliers by analytic equivalence

Article type: Research Article

Authors: Schmidt, D. | Sibuya, Y.^; | Tabara, T.J.

Affiliations: Universität GHS‐Essen, Fachbereich 6, Mathematik und Informatik, Postfach 45117, Essen, Germany E‐mail: dieter.schmidt@uni‐essen.de | School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA E‐mail: sibuya@math.umn.edu | Department of Mathematics, Golden Gate University, 536 Mission Street, San Francisco, CA 94105‐2968, USA E‐mail: ttabara@ggu.edu

Note: [] Corresponding author.

Abstract: We have demonstrated previously 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. With a recent discovery of a transformation, we can derive a new Stokes multiplier from the previously calculated multiplier.

Journal: Asymptotic Analysis, vol. 31, no. 3-4, pp. 211-227, 2002