On the Zeros of af(f(k))n − 1 for n ≥ 2

被引：9

作者：

Abdullah Alotaibi

机构：

[1] University of Nottingham,School of Mathematics

来源：

Computational Methods and Function Theory | 2004年 / 4卷 / 1期

关键词：

Nevanlinna theory; meromorphic function; 30D35;

D O I：

10.1007/BF03321066

中图分类号：

学科分类号：

摘要：

Let f be a transcendental meromorphic function and n, k be two positive integers. Then af(f(k))n − 1, n >- 2, has infinitely many zeros, where a(z) ≢ 0 is a meromorphic function such that T(r, a) = S(r, f).

引用

页码：227 / 235

页数：8

共 10 条

[1]

Bergweiler W(1995)On the singularities of the inverse to a meromorphic function of finite order Rev. Mat. Iberoamericana 11 355-373

[2]

Eremenko A(1959)Picard values of meromorphic functions and their derivatives Ann. of Math. (2) 70 9-42

[3]

Hayman W K(1989)On the growth of a meromorphic function and its derivatives Complex Variables Theory Appl. 12 245-260

[4]

Hayman W K(1993)On the zeros of Kexue Tongbao 38 2215-2218

[5]

Miles J(1998)( Chinese Ann. Math. Ser. A 19 275-282

[6]

Wang Y F(undefined)( undefined undefined undefined-undefined

[7]

Yang C C(undefined)))n − undefined undefined undefined-undefined

[8]

Yang L(undefined)On the zeros of undefined undefined undefined-undefined

[9]

Zhang Z F(undefined)( undefined undefined undefined-undefined

[10]

Song G D(undefined)( undefined undefined undefined-undefined

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