scholarly journals Completely regular growth solutions of second order complex linear differential equations

2015 ◽  
Vol 40 ◽  
pp. 985-1003 ◽  
Author(s):  
Janne Heittokangas ◽  
Ilpo Laine ◽  
Kazuya Tohge ◽  
Zhi-Tao Wen
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Linear Differential Equations ◽  
Regular Growth ◽  
Order Complex ◽  
Completely Regular ◽  
Complex Linear ◽  
Linear Differential

scholarly journals On the Growth of Higher Order Complex Linear Differential Equations Solutions with Entire and Meromorphic Coefficients

Mathematics ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 58
Author(s):  
Luis Manuel Sánchez Ruiz ◽  
Sanjib Kumar Datta ◽  
Samten Tamang ◽  
Nityagopal Biswas
Keyword(s):  
Differential Equations ◽  
Unknown Function ◽  
Higher Order ◽  
Linear Differential Equations ◽  
Order Complex ◽  
Growth Order ◽  
Order Linear ◽  
Complex Linear ◽  
Linear Differential

We revisit the problem of studying the solutions growth order in complex higher order linear differential equations with entire and meromorphic coefficients of p,q-order, proving how it is related to the growth of the coefficient of the unknown function under adequate assumptions. Our study improves the previous results due to J. Liu - J. Tu - L. Z Shi, L.M. Li - T.B. Cao, and others.

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