Open AccessOn [p,q]-order of growth of solutions of complex linear differential equations near a singular point
Author(s) -
Jianren Long,
Sangui Zeng
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1913013l
Subject(s) - mathematics , generalization , order (exchange) , regular singular point , differential equation , linear differential equation , mathematical analysis , singular point of a curve , combinatorics , ordinary differential equation , finance , economics
We investigate the [p,q]-order of growth of solutions of the following complex linear differential equation f(k)+Ak-1(z) f(k-1) + ...+ A1(z) f? + A0(z) f = 0, where Aj(z) are analytic in C? - {z0}, z0 ? C. Some estimations of [p,q]-order of growth of solutions of the equation are obtained, which is generalization of previous results from Fettouch-Hamouda.