Fast growing solutions to linear differential equations with entire coefficients having the same ρϕ-order

• Autorzy: Belaϊdi Benharrat

Identyfikatory

DOI

10.7862/rf.2019.4

• Języki publikacji: EN

Abstrakty

EN

This paper deals with the growth of solutions of a class of higher order linear differential equations f(k)+Ak-1(z)f(k-1)+ … +A1(z)f’+A0(z)f=0; k≥2 when most coefficients Aj (z) (j = 0, ..., k-1) have the same ρϕ-order with each other. By using the concept of τϕ-type, we obtain some results which indicate growth estimate of every non-trivial entire solution of the above equations by the growth estimate of the coefficient A0 (z). We improve and generalize some recent results due to Chyzhykov-Semochko and the author.

Słowa kluczowe

EN

linear differential equations; entire function; meromorphic function; ρϕ-order; µϕ-order; τϕ-type

PL

równania różniczkowe liniowe; funkcja całkowita; funkcja meromorficzna

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2019
• Tom: Vol. 42
• Strony: 63--77
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Belaϊdi Benharrat

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

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).