Open AccessOn the Growth of Solutions of Second Order Linear Complex Differential Equations whose Coefficients Satisfy Certain Conditions
Author(s) -
Ayad alkhalidy,
Eman M. Hussein
Publication year - 2020
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.2020.17.2.0530
Subject(s) - mathematics , linear differential equation , order (exchange) , conjecture , differential equation , mathematical analysis , complex differential equation , linear growth , pure mathematics , finance , economics
In this paper, we study the growth of solutions of the second order linear complex differential equations insuring that any nontrivial solutions are of infinite order. It is assumed that the coefficients satisfy the extremal condition for Yang’s inequality and the extremal condition for Denjoy’s conjecture. The other condition is that one of the coefficients itself is a solution of the differential equation .