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

• Autorzy: Hamani K. , Belaidi B.

Identyfikatory

DOI

10.7494/OpMath.2017.37.6.853

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

linear differential equations; transcendental meromorphic function; order of growth; hyper-order

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2017
• Tom: Vol. 37, no. 6
• Strony: 853--874
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Hamani K.

• University of Mostaganem (UMAB) Department of Mathematics Laboratory of Pure and Applied Mathematics B.P. 227 Mostaganem, Algeria

autor

Belaidi B.

• University of Mostaganem (UMAB) Department of Mathematics Laboratory of Pure and Applied Mathematics B.P. 227 Mostaganem, Algeria

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).