The Complex Oscillation of a Class of Linear Differential Equation with Entire Coefficients
Received:July 05, 2004  
Key Words: linear differential equation   entire functions   order   zero   exponent of convergence.  
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Author NameAffiliation
JIANG Liang-ying School of Math. \& Infor., Jiangxi Normal University, Nanchang 330027, China 
CHEN Zong-xuan Dept. of Math., South China Normal University, Guangzhou 510631, China 
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Abstract:
      This paper deals with the orders and zeros of the solutions of the differential equation $$f^{(k)}+A_{k-1}f^{(k-1)}+\cdots+A_0f=F, k\ge2,$$ where $A_j=B_je^{P_j},j=0,1,\cdots,k-1,B_j(z)$ are entire functions, $P_j(z)$ are polynomials, and $\sigma(B_j)<{\rm deg}P_j$.
Citation:
DOI:10.3770/j.issn:1000-341X.2006.03.014
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