Results 151 to 160 of about 531,187 (203)
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Application of Faber Polynomials in Proving Combinatorial Identities
Ukrainian Mathematical Journal, 2018Suppose \(K\) is a compact subset of \(\mathbb C\) containing at least \(2\) points. If the complement of \(K\) in the Riemann sphere \(\overline{\mathbb C}=\mathbb C\cup\{\infty\}\) is simply connected, then the Riemann mapping theorem guarantees that there exists a unique biholomorphic map \(\Phi:\overline{\mathbb C}\setminus K\to\{w\in\overline ...
F. Abdullaev, M. Imash-kyzy, V. Savchuk
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The Ramanujan journal, 2023
In this paper, we consider the Atkin-like polynomials that appeared in the study of normalized extremal quasimodular forms of depth 1 on $$SL_{2}(\mathbb {Z})$$ S L 2 ( Z ) by Kaneko and Koike as orthogonal polynomials and clarify their properties. Using
Tomoaki Nakaya
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In this paper, we consider the Atkin-like polynomials that appeared in the study of normalized extremal quasimodular forms of depth 1 on $$SL_{2}(\mathbb {Z})$$ S L 2 ( Z ) by Kaneko and Koike as orthogonal polynomials and clarify their properties. Using
Tomoaki Nakaya
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SIAM Journal on Mathematical Analysis, 2021
We consider the conductivity transmission problem in two dimensions with a simply connected inclusion of arbitrary shape.
Y. Jung, Mikyoung Lim
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We consider the conductivity transmission problem in two dimensions with a simply connected inclusion of arbitrary shape.
Y. Jung, Mikyoung Lim
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Approximation by p(·) ‐Faber polynomials in the variable Smirnov classes
Mathematical methods in the applied sciences, 2020Let G⊂C be a bounded domain with regular Jordan boundary L . In this work, p(·) ‐Faber polynomial series of functions in the variable exponent Smirnov class Ep(·)(G) are defined and their approximation properties are investigated.
D. Israfilov, Elife Gursel
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Faber polynomials in a deltoid region and power iteration momentum methods
arXiv.orgWe consider a region in the complex plane enclosed by a deltoid curve inscribed in the unit circle, and define a family of polynomials $P_n$ that satisfy the same recurrence relation as the Faber polynomials for this region.
Peter Cowal +2 more
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Time Domain Solution of Maxwell’s Equations Using Faber Polynomials
IEEE Transactions on Antennas and Propagation, 2018Approximations based on Faber polynomials for the numerical solution of Maxwell’s equations in the time domain are investigated. The exponential convergence properties of the Faber polynomials allow to construct highly accurate time propagation schemes ...
Hendrik Kleene, D. Schulz
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Completeness of subsystems of faber polynomials
Russian Mathematics, 2012The 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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Random Walks, Faber Polynomials and Accelerated Power Methods
arXiv.orgIn this paper, we construct families of polynomials defined by recurrence relations related to mean-zero random walks. We show these families of polynomials can be used to approximate $z^n$ by a polynomial of degree $\sim \sqrt{n}$ in associated radially
Peter Cowal +2 more
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Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
In this paper, we define a new class of bi-univalent functions of complex order $∑_{q}ⁿ(τ,ζ;φ)$ which is defined by subordination in the open unit disc $D$. By using $D_{q}ⁿϜ(ς)$ operator.
Zeinab Nsar, A. Mostafa, Samar Mohamed
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In this paper, we define a new class of bi-univalent functions of complex order $∑_{q}ⁿ(τ,ζ;φ)$ which is defined by subordination in the open unit disc $D$. By using $D_{q}ⁿϜ(ς)$ operator.
Zeinab Nsar, A. Mostafa, Samar Mohamed
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Asymptotic Location of the Zeros of the Faber Polynomials
Sarajevo Journal of MathematicsLet $E$ be a compact set of the complex plane containing more than one point whose complement in the extended complex plane is simply connected. Let $\omega = \phi(z)$ map conformally Ext($E$) into $\vert\omega\vert>1$ and with $\phi(\infty)=\infty.$ The
M. Hasson, M. Tabor
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