On lacunary incomplete polynomials

1981 ◽  
Vol 177 (3) ◽  
pp. 297-314 ◽  
Author(s):  
Edward B. Saff ◽  
Richard S. Varga
Keyword(s):  
Incomplete Polynomials

On approximation by bivariate incomplete polynomials

1994 ◽  
Vol 10 (2) ◽  
pp. 197-206 ◽  
Author(s):  
Andr�s Kro�
Keyword(s):  
Incomplete Polynomials

scholarly journals Approximation by incomplete polynomials

1980 ◽  
Vol 28 (2) ◽  
pp. 155-160 ◽  
Author(s):  
M.v Golitschek
Keyword(s):  
Incomplete Polynomials

scholarly journals On approximation of XN by incomplete polynomials

1978 ◽  
Vol 24 (3) ◽  
pp. 227-235 ◽  
Author(s):  
I Borosh ◽  
C.K Chui ◽  
P.W Smith
Keyword(s):  
Incomplete Polynomials

The location of critical points of polynomials

2019 ◽  
Vol 12 (07) ◽  
pp. 1950087
Author(s):  
Suhail Gulzar ◽  
N. A. Rather ◽  
F. A. Bhat
Keyword(s):  
Complex Plane ◽  
Simple Proof ◽  
Critical Points ◽  
Classical Result ◽  
Zeros Of Polynomials ◽  
Linear Combinations ◽  
Incomplete Polynomials ◽  
Location Of Zeros ◽  
Set Of Points

Given a set of points in the complex plane, an incomplete polynomial is defined as one which has these points as zeros except one of them. Recently, the classical result known as Gauss–Lucas theorem on the location of zeros of polynomials and their derivatives was extended to the linear combinations of incomplete polynomials. In this paper, a simple proof of this result is given, and some results concerning the critical points of polynomials due to Jensen and others have extended the linear combinations of incomplete polynomials.

scholarly journals On incomplete polynomials. II

1981 ◽  
Vol 92 (1) ◽  
pp. 161-172 ◽  
Author(s):  
Edward Saff ◽  
Richard Varga
Keyword(s):  
Incomplete Polynomials
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