- Tytuł:
- Fast growing solutions to linear differential equations with entire coefficients having the same ρϕ-order
- Autorzy:
- Belaϊdi, Benharrat
- Powiązania:
- https://bibliotekanauki.pl/articles/357773.pdf
- Data publikacji:
- 2019
- Wydawca:
- Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
- Tematy:
-
linear differential equations
entire function
meromorphic function
ρϕ-order
µϕ-order
τϕ-type
równania różniczkowe liniowe
funkcja całkowita
funkcja meromorficzna - Opis:
- This paper deals with the growth of solutions of a class of higher order linear differential equations \[f^{(k)}+A_{k-1}(z)f^{(k-1)}+ \ldots +A_{1}(z)f^{\prime}+A_{0}(z)f=0; k \geq 2\] when most coefficients $A_{j} (z) (j = 0, \ldots, k-1)$ have the same $\rho_{\varphi}$-order with each other. By using the concept of $\tau_{\varphi}$-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 $A_{0} (z)$. We improve and generalize some recent results due to Chyzhykov-Semochko and the author.
- Źródło:
-
Journal of Mathematics and Applications; 2019, 42; 63-77
1733-6775
2300-9926 - Pojawia się w:
- Journal of Mathematics and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł