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Analytic theory of polynomials
Qazi I. Rahman,Gerhard Schmeisser +1 more
- 01 Jan 2002
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About: The article was published on 01 Jan 2002. and is currently open access. The article focuses on the topics: Orthogonal polynomials & Classical orthogonal polynomials.
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Citations
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Polynomial problems of the Casas-Alvero type
TL;DR: In this paper, it was shown that for any complex univariate polynomial, having a common root with each of its non-constant derivative, the root must be a power of linear polynomials.
1
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A discrete weighted Markov--Bernstein inequality for polynomials and sequences
Dimitar K. Dimitrov,Geno Nikolov +1 more
TL;DR: In this article, the smallest possible Markov-Bernstein constant for real sequences in the Hilbert space of real functions defined on real sequences was shown to be bounded uniformly with respect to real sequences.
1
Stability study of a model for the Klein-Gordon equation in Kerr space-time II
TL;DR: In this paper, the stability of the reduced field of the Klein-Gordon equation was investigated for rotational parameters in the background of a rotating black hole and a model problem was derived to support the instability of the field down to 0.97.
1
The Schwarz-Pick theorem and its applications
Qazi I. Rahman,M. A. Qazi +1 more
- 01 Jan 2012
TL;DR: In this paper, various derivative estimates for functions of exponential type in a half-plane are proved and the reader will also find a related result about functions analytic in a quadrant.
1
A realization theorem in the context of the Schur-Szegő composition
TL;DR: In this article, the Schur-Szegő composition of n − 1 polynomials of the form (x + 1) n−1(x + a i ), where the numbers a i are uniquely determined up to permutation.
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