A note on a result of Singh and Kulkarni

Mingliang Fang

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-4

Abstract:

We prove that if f is a transcendental meromorphic function of finite order and ∑ a ≠∞ δ ( a , f ) + δ ( ∞ , f ) = 2 , then K ( f ( k ) ) = 2 k ( 1 − δ ( ∞ , f ) ) 1 + k − k δ ( ∞ , f ) , where K ( f ( k ) ) = lim r → ∞ N ( r , 1 / f ( k ) ) + N ( r , f ( k ) ) T ( r , f ( k ) ) This result improves a result by Singh and Kulkarni.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:817917

DOI: 10.1155/S016117120000082X

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