an:01350751
Zbl 0934.34076
Kinnunen, Liisa
Linear differential equations with solutions of finite iterated order
EN
Southeast Asian Bull. Math. 22, No. 4, 385-405 (1998).
00058062
1998
j
34M05 30D35 34M25
iterated order; iterated convergence exponent; complex homogeneous and nonhomogeneous linear differential equations; solutions; entire function
The author deals with complex homogeneous and nonhomogeneous linear differential equations with coefficients of finite iterated order. Several results are presented concerning the iterated order of solutions and the iterated convergence exponent of the zeros of solutions. Special attention is paid to the second-order case
\[
f''+ A(z) f= 0,
\]
where \(A(z)\) is an entire function.
J.Saurer (Regensburg)