Differential polynomials generated by second order linear differential equations

• Autorzy: Belaidi B. , El Farissi A.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we study fixed points of solutions of the differential equation f" + A1 (z) f' + A0 (z) f = 0, where Aj (z) ( ≡ ≠ 0) (j = 0,1) are transcendental meromorphic functions with finite order. Instead of looking at the zeros of f (z) - z, we proceed to a slight generalization by considering zeros of g (z) -φ(z), where g is a differential polynomial in f with polynomial coefficients,φ is a small meromorphic function relative to f, while the solution f is of infinite order.

Słowa kluczowe

EN

linear differential equations; meromorphic solutions; hyper order; exponent of convergence of the sequence of district zeros; hyper exponent of convergence of the sequence of district zeros

PL

liniowe równanie rózniczkowe; meromorficzne rozwiązania; wykładnik ciągu zbieżnego okręgu zerowego

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2008
• Tom: Vol. 14, nr 2
• Strony: 259--271
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Belaidi B.

autor

El Farissi A.

• Department of Mathematics Laboratory of Pure and Applied Mathematics University of Mostaganem,

Bibliografia

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