TY - JOUR

T1 - COMPLEX WKB METHOD FOR A SYSTEM OF TWO LINEAR DIFFERENCE EQUATIONS

AU - Fedotov, A. A.

N1 - Publisher Copyright: © 2022 American Mathematical Society

PY - 2022/3/4

Y1 - 2022/3/4

N2 - Analytic solutions of the difference equation Psi(z + h) = M(z)Psi(z) are explored. Here z is a complex variable, h > 0 is a parameter, and M is a given SL(2, C)-valued function. It is assumed that M either is analytic in a bounded domain or is a trigonometric polynomial. A simple method to derive the asymptotics of solutions as h -> 0 is described.

AB - Analytic solutions of the difference equation Psi(z + h) = M(z)Psi(z) are explored. Here z is a complex variable, h > 0 is a parameter, and M is a given SL(2, C)-valued function. It is assumed that M either is analytic in a bounded domain or is a trigonometric polynomial. A simple method to derive the asymptotics of solutions as h -> 0 is described.

KW - Complex wkb method

KW - Difference equations

KW - complex WKB method

UR - http://www.scopus.com/inward/record.url?scp=85126691551&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/eef624a6-1288-3824-b788-b3d1612bf8c1/

U2 - 10.1090/spmj/1706

DO - 10.1090/spmj/1706

M3 - Article

AN - SCOPUS:85126691551

VL - 33

SP - 405

EP - 425

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 2

ER -