Solutions of Non-Homogenous Linear Differential Equations

2022/08/08 by Naveen Mehra, Mehra, Naveen, S. K. Chanyal +1
Mathematics · #30D35 #34M10 #Complex Variables (math.CV) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2208.04069

openalex publication_date 2022/08/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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⁾+a_n-1(z)f^(n-1)+… +a₁f'+a₀f=H(z), by restricting the conditions on coefficients.

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