2014•Kragujevac Journal of MathematicsOpen access

Relation between small functions with differential polynomials generated by meromorphic solutions of higher order linear differential equations

Benharrat Belaïdi, Zinelaâbidine Latreuch

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Abstract

This paper is devoted to studying the growth and oscillation of higher order differential polynomial with meromorphic coefficients generated by meromorphic solutions of the linear differential equation ƒ(k) + A (z) ƒ = 0 (k ≥ 2), where A is a meromorphic function in the complex plane.

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What this paper is about

This paper is devoted to studying the growth and oscillation of higher order differential polynomial with meromorphic coefficients generated by meromorphic solutions of the linear differential equation ƒ(k) + A (z) ƒ = 0 (k ≥ 2), where A is a meromorphic function in the complex plane.

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Available abstract

This paper is devoted to studying the growth and oscillation of higher order differential polynomial with meromorphic coefficients generated by meromorphic solutions of the linear differential equation ƒ(k) + A (z) ƒ = 0 (k ≥ 2), where A is a meromorphic function in the complex plane.

Key concepts: Meromorphic function, Mathematics, Linear differential equation, Order (exchange), Differential equation, Entire function, Polynomial, Differential (mechanical device)

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