A modified Brent’s method for finding zeros of functions

2012 ◽  
Vol 123 (1) ◽  
pp. 177-188 ◽  
Author(s):  
Gautam Wilkins ◽  
Ming Gu
Keyword(s):  
Zeros Of Functions ◽  
Brent's Method

scholarly journals NORMALITY AND SHARED SETS

2009 ◽  
Vol 86 (3) ◽  
pp. 339-354 ◽  
Author(s):  
MINGLIANG FANG ◽  
LAWRENCE ZALCMAN
Keyword(s):  
Positive Integer ◽  
Meromorphic Functions ◽  
Complex Numbers ◽  
Finite Complex ◽  
Shared Sets ◽  
Zeros Of Functions

AbstractLet ℱ be a family of meromorphic functions defined in D, all of whose zeros have multiplicity at least k+1. Let a and b be distinct finite complex numbers, and let k be a positive integer. If, for each pair of functions f and g in ℱ, f(k) and g(k) share the set S={a,b}, then ℱ is normal in D. The condition that the zeros of functions in ℱ have multiplicity at least k+1 cannot be weakened.

On the distribution of zeros of functions from weighted Bergman spaces

2009 ◽  
Vol 86 (1-2) ◽  
pp. 93-106 ◽  
Author(s):  
E. A. Sevast’yanov ◽  
A. A. Dolgoborodov
Keyword(s):  
Bergman Spaces ◽  
Weighted Bergman Spaces ◽  
Distribution Of Zeros ◽  
Zeros Of Functions

scholarly journals Zeros of functions of a quaternion variable

1959 ◽  
Vol 62 ◽  
pp. 496-501
Author(s):  
L. Kuipers ◽  
P.A.J. Scheelbeek
Keyword(s):  
Zeros Of Functions

scholarly journals On the zeros of functions in Bergman spaces and in some other related classes of functions

2005 ◽  
Vol 309 (2) ◽  
pp. 534-543
Author(s):  
Daniel Girela ◽  
M. Auxiliadora Márquez ◽  
José Ángel Peláez
Keyword(s):  
Bergman Spaces ◽  
Zeros Of Functions
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