Let ω1,…,ωt be distinct nonzero complex numbers,H0(z),…,Ht(z)be meromor-phic functions.In this paper,the zero distribution and growth of meromorphic solutions of the Tumura-Cluine type nonlinear delay differential equation fn(z)+P(z,f)=H0(z)+H1(z)eω1zq+…+Ht(z)eωtzq are studied,where n(≥ 2),t,q ∈ N+and P(z,f)is a delay differential monomial.Using the properties of exponential polynomials in the angular domain,it also considers the radial distribution of Julia sets of entire solutions to the above equation,and the lower bound estimates of the measure of related limiting directions are verified.
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