The frequency of the zeros of some differential polynomials

• Autorzy: Belaïdi B.
• Języki publikacji: EN

Abstrakty

EN

Let ρp(ƒ) and σp(ƒ) denote respectively the iterated p-order and the iterated p-type of an entire function ƒ. In this paper, we study the iterated order and the fixed points of some differential polynomials generated by solutions of the differential equation f''+A1(z)f'+A0(z)f=0 where A1(z), A0(z) are entire functions of finite iterated p-order such that ρp(A1) = ρp(A0) = ρ(0< ρ <+∞) and σp(A1)< σp(A0) =σ(0< σ <+∞).

Słowa kluczowe

EN

linear differential equations; differential polynomials; entire solutions; iterated order

PL

równania różniczkowe liniowe; różnica wielomianu; iterowane zamówienie

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 1
• Strony: 75--86
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Belaïdi B.

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

Bibliografia

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