On [p,q]-order of growth of solutions of complex linear differential equations near a singular point | Zendy

Jianren Long | Zendy; Sangui Zeng | Zendy

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On [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.

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