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In this paper, we investigate the growth and fixed points of
meromorphic solutions of higher order linear differential equations
with meromorphic coefficients and their derivatives. Because of the
restriction of differential equations, we obtain that the properties
of fixed points of meromorphic solutions of higher order linear
differential equations with meromorphic coefficients and their
derivatives are more interesting than that of general transcendental
meromorphic functions. Our results extend the previous results due
to M. Frei, M. Ozawa, G. Gundersen, and J. K. Langley and Z. Chen
and K. Shon.
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참고문헌 (23)
참고문헌 신청
A. I. Markushevich / 1965 / Theory of Functions of a Complex Variable / Prentice-Hall
E. Hille / 1976 / Ordinary Differential Equations in the Complex Domain, Pure and Applied Mathematics / Wiley-Interscience
F. Gross / 1968 / On the distribution of values of meromorphic functions / Trans. Amer. Math. Soc. 131 : 199 ~ 214
G. Gundersen / 1986 / On the question of whether f”+e?zf0+B(z)f = 0 can admit a solution f 6´ 0 of finite order / Proc. Roy. Soc. Edinburgh Sect. A 102 (1) : 9 ~ 17
G. Gundersen / 1988 / Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates / J. London Math. Soc. 37 (1) : 88 ~ 104
E. Hille / 1976 / Ordinary Differential Equations in the Complex Domain, Pure and Applied Mathematics / Wiley-Interscience
F. Gross / 1968 / On the distribution of values of meromorphic functions / Trans. Amer. Math. Soc. 131 : 199 ~ 214
G. Gundersen / 1986 / On the question of whether f”+e?zf0+B(z)f = 0 can admit a solution f 6´ 0 of finite order / Proc. Roy. Soc. Edinburgh Sect. A 102 (1) : 9 ~ 17
G. Gundersen / 1988 / Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates / J. London Math. Soc. 37 (1) : 88 ~ 104
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