Strong uniqueness polynomials of degree 6 and unique range sets for powers of meromorphic functions-Reference-Cited by-同舟云学术

Strong uniqueness polynomials of degree 6 and unique range sets for powers of meromorphic functions

Published:2018-05 Issue:05 Volume:29 Page:1850037
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Khoai Ha Huy¹,An Vu Hoai¹²,Lai Nguyen Xuan²

Affiliation:

1. Thang Long Institute of Mathematics and Applied Sciences, Hanoi, Vietnam

2. Hai Duong Pedagogical College, Hai Duong, Vietnam

Abstract

We investigate the uniqueness problems for meromorphic functions with higher multiplicities of zeros and poles. As a consequence, we present a class of strong uniqueness polynomials for meromorphic functions (SUPM) of degree [Formula: see text]. We also proved that there exist the sets [Formula: see text] of seven elements such that for arbitrary two meromorphic functions [Formula: see text] and [Formula: see text], the condition [Formula: see text] with [Formula: see text] implies [Formula: see text] where [Formula: see text] is a root of unity of degree [Formula: see text]

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X18500374

Reference10 articles.

1. On a result of H. Fujimoto

2. A new class of strong uniqueness polynomials satisfying Fujimoto's condition

3. A Uniqueness Polynomial Generating a Unique Range Set and Vice Versa

4. On the Characterisations of a New Class of Strong Uniqueness Polynomials Generating Unique Range Sets

5. On uniqueness of meromorphic functions sharing finite sets

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