A note on a result of Singh and Kulkarni. (15th February 2000)

• Record Type: Journal Article
• Authors: Fang, Mingliang
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 23:Number 4(2000)
• Page Start: 285
• Page End: 288
• Publication Date: 2000-02-15
• Subjects: Meromorphic functions -- Nevanlinna's deficiency -- maximum deficiency sum; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S016117120000082X
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : We prove that iff is a transcendental meromorphic function of finite order and∑ a ≠ ∞ δ ( a, f ) + δ ( ∞, f ) = 2, thenK ( f ( k ) ) = 2 k ( 1 − δ ( ∞, f ) ) 1 + k − k δ ( ∞, f ), whereK ( 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.