Complex Linear Differential Equations with Analytic Coefficients of Iterated Order in the Annulus

Abstract

Received on: Jan. 6, 2021;                                          Accepted on: Dec. 30, 2021

 In this paper, we study the growth properties of solutions of the linear differential equations
f^(k) + B_k−1 (z) f^(k−1) + · · · + B₁ (z) f′ + B₀ (z) f = 0,
f^(k) + B_k−1 (z) f^(k−1) + · · · + B₁ (z) f′ + B₀ (z) f = F,
where B_k−1 (z), ..., B₀ (z) and F (z) are analytic functions of iterated order in an annulus. We obtain some results concerning the estimates of the iterated order of solutions of the above equations.

Cited by : Jordan J. Math & Stat., 15 (3A) (2022), 417 - 434