On the zeros of meromorphic functions of the formf(z)=Σ k=1 ∞ a k/z−z k

Alexandre Eremenko; Jim Langley; John Rossi

doi:10.1007/bf02835958

On the zeros of meromorphic functions of the formf(z)=Σ k=1 ∞ a k/z−z k

Journal d Analyse Mathématique ◽

10.1007/bf02835958 ◽

1994 ◽

Vol 62 (1) ◽

pp. 271-286 ◽

Cited By ~ 20

Author(s):

Alexandre Eremenko ◽

Jim Langley ◽

John Rossi

Keyword(s):

Meromorphic Functions ◽

Zeros Of Meromorphic Functions

Download Full-text

PROOF OF A CONJECTURE OF FRANK AND LANGLEY CONCERNING ZEROS OF MEROMORPHIC FUNCTIONS AND LINEAR DIFFERENTIAL POLYNOMIALS

Analysis ◽

10.1524/anly.1992.12.12.5 ◽

1992 ◽

Vol 12 (1-2) ◽

pp. 5-30 ◽

Cited By ~ 12

Author(s):

Franz Brüggemann

Keyword(s):

Meromorphic Functions ◽

Differential Polynomials ◽

Linear Differential Polynomials ◽

Linear Differential ◽

Zeros Of Meromorphic Functions

Download Full-text

UNIQUENESS OF MEROMORPHIC FUNCTIONS WITH WEAKLY WEIGHTED SHARING

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972713000397 ◽

2013 ◽

Vol 88 (1) ◽

pp. 26-43 ◽

Cited By ~ 1

Author(s):

THAMIR ALZAHARY

Keyword(s):

Meromorphic Functions ◽

Differential Polynomials ◽

Weighted Sharing ◽

Zeros Of Meromorphic Functions

AbstractIn this paper, we introduce the notion of weakly weighted sharing of zeros of meromorphic functions ignoring multiplicities, which extends the notion of weakly weighted sharing counting multiplicities, and we also introduce the notion of multiplicity. By using these notions, we prove some results on the uniqueness of meromorphic functions concerning differential polynomials sharing nonzero finite values. The results in this paper extend the results of Yang and Hua, Fang, and Dyavanal. In this paper, we correct defective points in the paper of Wu et al. [‘Uniqueness of meromorphic functions sharing one value’, Bull. Aust. Math. Soc. 85(2012), 280–294].

Download Full-text

Zeros of Meromorphic Functions with Poles Close to the Real Axis

Results in Mathematics ◽

10.1007/s00025-007-0260-6 ◽

2007 ◽

Vol 51 (1-2) ◽

pp. 87-96

Author(s):

J. K. Langley

Keyword(s):

Real Axis ◽

Meromorphic Functions ◽

The Real ◽

Zeros Of Meromorphic Functions

Download Full-text

Further investigations on Fujimoto type strong uniqueness polynomials

Filomat ◽

10.2298/fil1716203b ◽

2017 ◽

Vol 31 (16) ◽

pp. 5203-5216

Author(s):

Abhijit Banerjee ◽

Bikash Chakraborty ◽

Sanjay Mallick

Keyword(s):

Meromorphic Functions ◽

Future Research ◽

Strong Uniqueness ◽

Open Questions

Taking the question posed by the first author in [1] into background, we further exhaust-ably investigate existing Fujimoto type Strong Uniqueness Polynomial for Meromorphic functions (SUPM). We also introduce a new kind of SUPM named Restricted SUPM and exhibit some results which will give us a new direction to discuss the characteristics of a SUPM. Moreover, throughout the paper, we pose a number of open questions for future research.

Download Full-text