Exceptional solutions of n-th order periodic linear differential equations
Title:
Exceptional solutions of n-th order periodic linear differential equations
Author:
Baesch, Anja Steinmetz, Norbert
Appeared in:
Complex variables and elliptic equations
Paging:
Volume 34 (1997) nr. 1-2 pages 7-17
Year:
1997-09
Contents:
Let[image omitted] , be a linear differential operator, whose coefficients are (constants or) 2φi-periodic entire functions of order one, mean type. We will prove that any exceptional solution of L[L] = 0, i.e., any solution satisfying [image omitted] , has the form [image omitted] where q ≥ 1 is an integer, the cj's are complex constants and S and the Pj's are polynomials. We give also a new proof of a result due to Steinbart, who classified the so-called subnormal solutions-solutions satisfying [image omitted] .
Journal description