Complex oscillation of a second-order linear differential equation with entire coefficients of "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" order

Author:

Shen Xia,Tu Jin,Xu Hong Yan

Abstract

Abstract In this paper, the authors investigate the interaction between the growth, zeros of solutions with the coefficients of second-order linear differential equations in terms of [ p , q ] φ order and obtain some results in general form. MSC:30D35, 34A20.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference21 articles.

1. Hayman W: Meromorphic Functions. Clarendon, Oxford; 1964.

2. Yang L: Vaule Distribution Theory and Its New Research. Science Press, Beijing; 1988. (in Chinese)

3. Yang CC, Yi HX Mathematics and Its Applications 557. In The Uniqueness Theory of Meromorphic Function. Kluwer Academic, Dordrecht; 2003.

4. Bank S, Laine I: On the oscillation theory of "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" where A is entire. Trans. Am. Math. Soc. 1982, 273: 352-363.

5. Bank S, Laine I: On the zeros of meromorphic solutions of second-order linear differential equations. Comment. Math. Helv. 1983, 58: 656-677. 10.1007/BF02564659

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