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On a result of Singh

Published online by Cambridge University Press:  17 April 2009

Hong-Xun Yi
Hong-Xun Yi
Affiliation:
Department of Mathematics, Shandong University, Jinan, Shandong 250100, China
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In this paper relations between T(r, f) and T(r, f(k)) are established for a class of meromorphic functions f(z), where T(r, f) and T(r, f(k)) are the Nevanlinna characteristic functions f(z) and f(k)(z) respectively. An example is provided to show that a result of Singh is not true. The conclusions obtained here correct and generalise the result of Singh.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 41 , Issue 3 , June 1990 , pp. 417 - 420
Copyright
Copyright © Australian Mathematical Society 1990

References

[1]Hayman, W.K., Meromorphic Functions (Oxford Univ. Press, 1964).Google Scholar
[2]Rainville, E.D., Special Functions (Macmillan Company, New York, 1960).Google Scholar
[3]Singh, A.P., ‘A note on exceptional value Picard for simple zeros’, Progr. Math. 15 (1981), 9–11.Google Scholar
[4]Yang, L., Value distribution theory and new research on it (Science Press, Beijing, 1982).Google Scholar