Relation between Small Functions with Differential Polynomials Generated by Solutions of Linear Differential Equations

Zhigang Huang

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: This paper is devoted to studying the growth of solutions of second‐order nonhomogeneous linear differential equation with meromorphic coefficients. We also discuss the relationship between small functions and differential polynomials L(f) = d2f″+d1f′ + d0f generated by solutions of the above equation, where d0(z), d1(z), and d2(z) are entire functions that are not all equal to zero.

Date: 2012
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https://doi.org/10.1155/2012/451825

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:451825

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