[Infinite Order of Growth of Solutions of Second Order Linear Differential Equations

2021/01/16 by Naveen Mehra, Mehra, Naveen, V. P. Pande +1
Mathematics · #30D35 #34M10 #Advanced Differential Equations and Dynamical Systems #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2101.06413

openalex publication_date 2021/01/16 · openalex created_date 2021/02/01 · openalex updated_date 2026/07/28

Abstract

Considering differential equation f''+A(z)f'+B(z)f=0, where A(z) and B(z) are entire complex functions, our results revolve around proving all non-trivial solutions are of infinite order taking various restrictions on coefficients A(z) and B(z).

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