ZEROS OF SOLUTIONS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS WITH COEFFICIENTS OF SMALL LOWER GROWTH Wang, Sheng;
Abstract
It is proved that the product of any two linearly independent meromorphic solutions of second order linear differential equations with coefficients of small lower growth must have infinite exponent of convergence of its zero-sequences, under some suitable conditions.
Keywords
meromorphic solution;linear differential equation;exponent of convergence of zero-sequences;growth order;
Language
English
Cited by
References
1.
Kodai Math. J., 1986.
vol.9.
pp.225-240
2.
Tran. Am. Math. Soc., 1982.
vol.273.
pp.351-363
3.
Complex oscillation theory of linear differential equations, 1998.
4.
Meromorphic Functions, 1964.
5.
Nevanlinna theory and complex differential equations, 1993.
6.
Linear differential equations with entire coefficients of small growth, 2000.