Results 151 to 160 of about 11,980 (190)

Completeness of subsystems of faber polynomials

Russian Mathematics, 2012
The authors investigate the completeness of special lacunary systems of Faber polynomials. The paper might be more powerful with the insertion of certain examples.
Dodunova, L. K., Savikhin, S. A.
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Faber Polynomials on Quaternionic Compact Sets

Complex Analysis and Operator Theory, 2017
The authors consider the notion of Faber polynomials in the context of slice regular quaternionic functions. Let \(K\) be an axially symmetric compact set in \(\mathbb H\) (the skew field of real quaternions) such that \(\overline{\mathbb H}\setminus K\) is simply connected, then a given quaternionic function which is continuous on \(K\) and slice ...
Gal, Sorin G., Sabadini, Irene
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Faber Polynomials and the Faber Series

The American Mathematical Monthly, 1971
(1971). Faber Polynomials and the Faber Series. The American Mathematical Monthly: Vol. 78, No. 6, pp. 577-596.
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FUNDAMENTAL PROPERTIES OF FABER POLYNOMIALS

Russian Mathematical Surveys, 1964
CONTENTSIntroduction § 1. Estimates for Faber polynomials within the domain § 2. Asymptotic formulae § 3. Convergence of Faber series within the domain § 4. Convergence of Faber series in the closed domain § 5. Series of Faber polynomials § 6. On the uniqueness of series of Faber polynomials § 7. Application of Faber polynomials to the interpolation of
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The conformal ‘bratwurst’ mapsand associated Faber polynomials

Numerische Mathematik, 2000
In the construction of polynomial iteration methods for the solution of a linear system \(Ax= b\), it is necessary to find inclusion sets \(\Omega\) which contain the spectrum of \(A\) but \(0\not\in\Omega\). The main object of this paper is to construct explicitly a class of non-convex inclusion sets.
Koch, Tino, Liesen, Jörg
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Lattice Paths and Faber Polynomials

1997
The r-th Faber polynomial of the Laurent series f(t) = t + f 0 + f 1/t + f 2/t 2 + … is the unique polynomial F r (u) of degree r in u such that F r (f) = t r + negative powers of t. We apply Faber polynomials, which were originally used to study univalent functions, to lattice path enumeration.
Ira M. Gessel, Sangwook Ree
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Irreducibility of some Faber polynomials

The Ramanujan Journal, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exact estimates for Faber polynomials and for norm of Faber operator

Complex Variables and Elliptic Equations, 2019
Exact estimates for Faber polynomials, norm of Faber operator, and L1-norm of the generating function for the sequence of Faber operator of univalent functions of class Σ are found.
F. G. Abdullayev, V. V. Savchuk, T. Tunç   +2 more
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Studies In Faber Polynomials.

1962
PhD ; Mathematics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/185361/2/6202692 ...
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