Order and Hyper-order of Solutions of Second Order Linear Differential\n Equations

2018/12/23 by Manisha Saini, Saini, Manisha · 1 citation
Mathematics · #30D35 #34M10 #Advanced Differential Equations and Dynamical Systems #Complex Variables (math.CV) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Mathematics and Applications #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1812.09712

openalex publication_date 2018/12/23 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28

Abstract

We have discussed the problem of finding the condition on coefficients of\nf''+A(z)f'+B(z)f=0, B(z)( not \≡ 0) so that all non-trivial\nsolutions are of infinite order. The hyper-order of these non-trivial solutions\nof infinite order is also found when \λ(A)<\ρ(A) and B(z) is a\ntranscendental entire function satisfying some conditions.\n

Cited by

• Solutions of Higher Order Linear Differential Equations

Related

• [Infinite Order of Growth of Solutions of Second Order Linear Differential Equations
• Growth of Solutions of Second Order Linear Differential Equations
• Infinite order solutions of second order linear differential equations
• Order of growth of solutions of linear complex differential equations when the coefficients have same order
• Solutions of Higher Order Linear Differential Equations