Izvorni znanstveni članak
https://doi.org/10.21857/y26kecl839
Differential polynomials generated by solutions of second order non-homogeneous linear differential equations
Benharrat Belaïdi
orcid.org/0000-0002-6635-2514
; Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem, B. P 227 Mostaganem, Algeria
Sažetak
This paper is devoted to studying the growth and the oscillation of solutions of the second order non-homogeneous linear differential equation
f′′ + Aea1z f′ + B(z) ea2z f = F(z) ea1z,
where A, a1, a2 are complex numbers, B(z) (≢ 0) and F(z) (≢ 0) are entire functions with order less than one. Moreover, we investigate the growth and the oscillation of some differential polynomials generated by solutions of the above equation.
Ključne riječi
Differential polynomial; linear differential equations; entire solutions; order of growth; exponent of convergence of zeros; exponent of convergence of distinct zeros
Hrčak ID:
283932
URI
Datum izdavanja:
27.9.2022.
Posjeta: 856 *