Solutions of Non-Homogenous Linear Differential Equations

preprint2022arXivOpen access

Abstract

This article is devoted to the study of solutions of non-homogenous linear differential equations having entire coefficients. We get all non-trivial solutions of infinite order of equation f(n)+an−1(z)f(n−1)+…+a1f′+a0f=H(z)f^{(n)}+a_{n-1}(z)f^{(n-1)}+\ldots +a_1f'+a_0f=H(z), by restricting the conditions on coefficients.

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