On the Growth of Meromorphic Solutions of Higher Order Linear Differential Equations

Authors

  • Jianren Long

Keywords:

Deficient value, Complex differential equations, Meromorphic function, Hyper-order, Infinite order

Abstract

NA

References

P.Barry, Some theorems related to the theorem, Proc. London. Math. Soc., 21(3), 334-360(1970).

Z.Chen, The growth of solutions of second order linear differential equations with meromorphic coefficients, Kodai

Math. J., 22, 208-221(1999).

Z.Chen and C.Yang, On the zeros and hyper-order of meromorphic solutions of linear differential equations, Ann. Acad. Sci. Fenn. Math., 24, 215-224(1999).

Z.Chen, On the hyper order of solutions of higher differential equations, Chinese Ann. Math. Ser.B, 24, 501-508(2003).

Z.Chen, The zero, pole and order of meromorphic solutions of differential equations with meromorphic coefficients, Kodai Math. J., 19, 341-354(1996).

G.Gundersen, Finite order solution of second order linear differential equations, Trans. Amer. Math. Soc., 305,

-429(1988).

G.Gundersen, Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates, J. London Math. Soc., 37, 88-104(1988).

A.Gol'dberg and O.Sokolovskaya, Some relations for meromorphic functions of lower order less than one, Izv. Vyssh. Uchebn. Zaved. Mat. 31 no.6(1987),26-31. Translation: Soviet Math.(Izv. VUZ)31 no.6, 29-35(1987).

S.Hellerstein, J.Miles and J.Rossi, On the growth of solutions of , Trans. Amer. Math. Soc., 324, 693-705(1991).

W.Hayman, Meromorphic functions, Clarendon Press, Oxford, 1964.

K.Kwon and J.Kim, Maximum modulus, characteristic, deficiency and growth of solutions of second

order linear differential equation, Kodai Math. J., 24, 344-351(2001).

K.Kwon, On the growth of entire functions satisfying second order linear differential equations, Bull. Korean Math. Soc., 33, 487-496(1996).

K.Kwon, Nonexistence of finite order solutions of certain second order linear differential equations, Kodai Math. J., 19, 378-387(1996).

I.Laine, Nevanlinna Theory and complex differential equations, Walter de Gruyter Berlin, New York, 1993.

J.Long and J.Zhu, On the growth of solutions of second order differential equations with meromorphic coefficients, Int. J. Research and Reviews in Appl. Sci., 14(2): 316-323(2013).

M.Ozawa, On a solution of , Kodai Math. J., 3, 295-309(1980).

J.Tu and C.Yi, On the growth of solutions of a class of higer order linear differential equations with coefficients having the same order, J. Math. Anal. Appl., 340, 487-497(2008).

L.Yang, Value distribution theory, Springer-Verlag, Berlin, 1993.

L.Yang, Deficient values and angular distibution of entire functions, Trans. Amer. Math. Soc., 308(2), 583-601(1988).

C.Yang, H. Yi, Uniqueness Theory of meromorphic functions. Kluwer Academic Publishers, New York, 2003.

Downloads

Published

2013-12-13

How to Cite

On the Growth of Meromorphic Solutions of Higher Order Linear Differential Equations. (2013). Asian Journal of Fuzzy and Applied Mathematics, 1(4). https://ajouronline.com/index.php/AJFAM/article/view/596

Similar Articles

1-10 of 54

You may also start an advanced similarity search for this article.