✦ LIBER ✦

Shared Values and Normal Families of Meromorphic Functions

✍ Scribed by Huaihui Chen; Mingliang Fang

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 82 KB
Volume: 260
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7439

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we study the normality of a family of meromorphic functions concerning shared values and prove the following theorem: Let F F be a family of meromorphic functions in a domain D, let k G 2 be a positive integer, and let a, b, c be complex numbers such that a / b. If, for each f g F F, f and f Ž k . share a and Ž . b in D, and the zeros of f z y c are of multiplicity G k q 1, then F F is normal in D.

📜 SIMILAR VOLUMES

Meromorphic Functions That Share Two Val

Meromorphic Functions That Share Two Values

✍ Lian-Zhong Yang 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 146 KB

In this paper, we give some uniqueness theorems for meromorphic functions that share two values. Particularly, a positive answer to a question posed by Gross is derived.

On Meromorphic Functions That Share Four

On Meromorphic Functions That Share Four Values

✍ S.P. Wang 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 272 KB

On the Characteristics of Meromorphic Fu

On the Characteristics of Meromorphic Functions That Share Three Values CM

✍ Ping Li; Chung-Chun Yang 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 163 KB

In this paper, by studying the counting functions of the common 1-points of meromorphic functions, a more precise relation between the characteristics of meromorphic functions that share three values CM has been obtained. As applications of this, many known results can be improved.

On Meromorphically Normal Families of Me

On Meromorphically Normal Families of Meromorphic Mappings of Several Complex Variables into PN(C)

✍ Zhen-han Tu 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 143 KB

On the Growth of Meromorphic Functions w

On the Growth of Meromorphic Functions with Two Radially Distributed Values

✍ Jian-Hua Zheng 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 169 KB

A Linear Operator and Associated Familie

A Linear Operator and Associated Families of Meromorphically Multivalent Functions

✍ Jin-Lin Liu; H.M. Srivastava 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 123 KB

Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), the authors introduce (and investigate the various properties and characteristics of) two novel families of meromorphically multivalent functions. They also extend the familiar concept of neighb