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Solutions of Non-Homogenous Linear Differential Equations

Complex Variables 2022-08-24 v2

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)+an1(z)f(n1)++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.

Keywords

Cite

@article{arxiv.2208.04069,
  title  = {Solutions of Non-Homogenous Linear Differential Equations},
  author = {Naveen Mehra and S. K. Chanyal},
  journal= {arXiv preprint arXiv:2208.04069},
  year   = {2022}
}
R2 v1 2026-06-25T01:33:55.538Z