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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 551=26, 2022.

Original scientific paper

https://doi.org/10.21857/y26kecl839

Differential polynomials generated by solutions of second order non-homogeneous linear differential equations

Benharrat Belaïdi orcid id orcid.org/0000-0002-6635-2514 ; Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem, B. P 227 Mostaganem, Algeria

Full text: english pdf 551 Kb

page 139-153

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Abstract

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.

Keywords

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

https://hrcak.srce.hr/283932

Publication date:

27.9.2022.

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