On the hyper-order of transcendental meromorphic solutions of certain higher order linear differential equations

Szczegóły
Opis

Tytuł:: On the hyper-order of transcendental meromorphic solutions of certain higher order linear differential equations
Autorzy:: Hamani, K.
Belaidi, B.
Data publikacji:: 2017
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: linear differential equations
transcendental meromorphic function
order of growth
hyper-order
Źródło:: Opuscula Mathematica; 2017, 37, 6; 853-874
1232-9274
2300-6919
Język:: angielski
Prawa:: CC BY: Creative Commons Uznanie autorstwa 4.0
Dostawca treści:: Biblioteka Nauki
: Artykuł

Przejdź do źródła

In this paper, we investigate the growth of meromorphic solutions of the linear differential equation [formula] where k ≥ 2 is an integer, Pj(z) (j = 0,1,... , k — 1) are nonconstant polynomials and hj(z) are meromorphic functions. Under some conditions, we determine the hyper-order of these solutions. We also consider nonhomogeneous linear differential equations.

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On the hyper-order of transcendental meromorphic solutions of certain higher order linear differential equations

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