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On the growth of compositions of linear and meromorphic functions

Published online by Cambridge University Press:  17 April 2009

Jianyong Qiao
Jianyong Qiao
Affiliation:
Department of Mathematics, Huaibei Meitan Teachers College, Huaibei, Anhui Province Peoples, Republic of China
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Abstract

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Let f(z) be a meromorphic function; we shall investigate the asymptotic behaviour of the ratio T(r, f(z + α))/T(r, f(z)) and T(r, f(αz))/T(r, f(z)), and discuss the growth of the meromorphic solutions of some functional equations.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 44 , Issue 2 , October 1991 , pp. 263 - 269
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Chang, C.T. and Yang, C.C., ‘Theory of fix-points and factorization of memomorphic functions’, (in Chinese), in Mathematical Monograph Series (Peking University Publishing House, 1988).Google Scholar
[2]Gackstatter, F. and Laine, I., ‘Zur theorie der gewöhnlichen differeentialgleichungen in komplexen’, Ann. Polon. Math. 38 (1980), 259–287.CrossRefGoogle Scholar
[3]Shimomura, S., ‘Entire solutions of a polynomial difference equation’, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 28 (1981), 253–266.Google Scholar
[4]Yanagihara, N., ‘Meromorphic solutions of some difference equations of higher order, I’, Proc. Japan Acad. 58A (1982), 21–24. ‘II’, 284–286.Google Scholar