Opuscula Math. 35, no. 1 (2015), 85-98
http://dx.doi.org/10.7494/OpMath.2015.35.1.85

Opuscula Mathematica

Growth and oscillation of some polynomials generated by solutions of complex differential equations

Zinelâabidine Latreuch
Benharrat Belaïdi

Abstract. In this paper, we continue the study of some properties on the growth and oscillation of solutions of linear differential equations with entire coefficients of the type $f^{\prime \prime }+A(z) f^{\prime }+B(z) f=0$ and $f^{\left( k\right) }+A_{k-2}(z) f^{\left( k-2\right) }+\ldots +A_{0}(z) f=0.$

Keywords: linear differential equations, finite order, exponent of convergence of the sequence of distinct zeros, hyper-exponent of convergence of the sequence of distinct zeros.

Mathematics Subject Classification: 34M10, 30D35.

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• Zinelâabidine Latreuch
• University of Mostaganem (UMAB), Department of Mathematics, Laboratory of Pure and Applied Mathematics, B. P. 227 Mostaganem (Algeria)
• Benharrat Belaïdi
• University of Mostaganem (UMAB), Department of Mathematics, Laboratory of Pure and Applied Mathematics, B. P. 227 Mostaganem (Algeria)