scholarly journals On meromorphic functions sharing two one-point sets and two two-point sets

2007 ◽  
Vol 83 (3) ◽  
pp. 32-35
Author(s):  
Manabu Shirosaki ◽  
Masaharu Taketani
Keyword(s):  
Meromorphic Functions ◽  
Point Sets

scholarly journals On The Uniqueness of Meromorphic Functions Sharing Three-Point Sets IM

2020 ◽  
Vol 26 (3) ◽  
pp. 334-344
Author(s):  
Takahiro Kongo ◽  
Manabu Shirosaki
Keyword(s):  
Complex Plane ◽  
Meromorphic Functions ◽  
Point Sets

We show that if two meromorphic functions on the complex plane shring some three-point sets IM, then they are identical under some conditions.

scholarly journals On meromorphic functions sharing two one-point sets and two three-point sets

2010 ◽  
Vol 40 (1) ◽  
pp. 101-113
Author(s):  
Yusei Sekitani ◽  
Manabu Shirosaki
Keyword(s):  
Meromorphic Functions ◽  
Point Sets

Almost empty polygons

2003 ◽  
Vol 40 (3) ◽  
pp. 269-286 ◽  
Author(s):  
H. Nyklová
Keyword(s):  
Exact Results ◽  
Point Sets ◽  
Planar Point ◽  
Convex Position ◽  
Vertex Set ◽  
Point Set ◽  
Empty Polygons

In this paper we study a problem related to the classical Erdos--Szekeres Theorem on finding points in convex position in planar point sets. We study for which n and k there exists a number h(n,k) such that in every planar point set X of size h(n,k) or larger, no three points on a line, we can find n points forming a vertex set of a convex n-gon with at most k points of X in its interior. Recall that h(n,0) does not exist for n = 7 by a result of Horton. In this paper we prove the following results. First, using Horton's construction with no empty 7-gon we obtain that h(n,k) does not exist for k = 2(n+6)/4-n-3. Then we give some exact results for convex hexagons: every point set containing a convex hexagon contains a convex hexagon with at most seven points inside it, and any such set of at least 19 points contains a convex hexagon with at most five points inside it.

An Algorithm for Extracting and Enhancing Valley-ridge Features from Point Sets

2010 ◽  
Vol 36 (8) ◽  
pp. 1073-1083 ◽  
Author(s):  
Xu-Fang PANG ◽  
Ming-Yong PANG ◽  
Chun-Xia XIAO
Keyword(s):  
Point Sets

Multifractal Analysis of Chaotic Point Sets

1992 ◽  
Author(s):  
L. V. Meisel ◽  
M. A. Johnson
Keyword(s):  
Multifractal Analysis ◽  
Point Sets
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