Growth of meromorphic solutions to homogeneous complex linear delay differential equations

Benharrat Belaidi, Hakima Lassal

Abstract


This paper is devoted to study the growth and oscillation of meromorphic solutions of homogeneous complex linear delay differential equations of the form
\[L(z,f)=\sum_{s=0}^{n}\sum_{j=0}^{m}A_{sj}(z)f^{(j)}(z+c_{s})=0,\]
where $c_{s},s=0,...,n$ are distinct complex numbers and $A_{sj}(z),s=0,...,n,j=0,...,m$ are entire or meromorphic functions with the same order. We extend some results based on those of Lan-Chen and Wu-Zheng.


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References


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DOI: https://doi.org/10.52846/ami.v52i2.2042