Results 21 to 30 of about 181 (148)
International Journal of Mathematics and Mathematical Sciences, 1998 In the present paper we investigate the effectiveness of similar sets of polynomials of two complex variables in polycylinder and in Faber regions of the four dimensional space E4.
K. A. M. Sayyed, M. S. Metwally
doaj +1 more source
On the boundedness of poles of generalized Padé approximants
Advances in Difference Equations, 2019 Given a function F holomorphic on a neighborhood of some compact subset of the complex plane, we prove that if the zeros of the denominators of generalized Padé approximants (orthogonal Padé approximants and Padé–Faber approximants) for some row sequence
Nattapong Bosuwan
doaj +1 more source
Approximating Polynomials for Functions of Weighted Smirnov-Orlicz Spaces
Journal of Function Spaces and Applications, 2012 Let 𝐺0 and 𝐺∞ be, respectively, bounded and unbounded components of a plane curve Γ satisfying Dini's smoothness condition. In addition to partial sum of Faber series of 𝑓 belonging to weighted Smirnov-Orlicz space 𝐸𝑀,𝜔 (𝐺0), we prove that interpolating ...
Ramazan Akgün
doaj +1 more source
مجلة بغداد للعلوم, 2019 In this work, an explicit formula for a class of Bi-Bazilevic univalent functions involving differential operator is given, as well as the determination of upper bounds for the general Taylor-Maclaurin coefficient of a functions belong to this class ...
Juma et al.
doaj +1 more source
Supplement to The Faber Polynomials for Circular Sectors [PDF]
Mathematics of Computation, 1987 Let \(S_{\alpha}=\{z:| z| \leq 1\), \(| \arg z| \leq \alpha \}\) be a sector with opening angle \(2\alpha\) and let \[ F_ n(z)=\sum^{n}_{k=0}c_ k^{(n)}z^ k,\quad n=1,2,..., \] be the set of Faber polynomials on \(S_{\alpha}\). The authors present all the coefficients \(c_ k^{(n)}\) with 14 digits after the decimal point for the following cases: \(n=1(1)
Coleman, John P., Smith, Russell A.
openaire +3 more sources
A note on the zeros of Faber polynomials [PDF]
Proceedings of the American Mathematical Society, 1975 By an elementary counterexample we show that a conjecture about the zeros of the Faber polynomials is false.
openaire +1 more source
Mathematics, 2019 In this investigation, by using the Komatu integral operator, we introduce the new class of bi-univalent functions based on the rule of subordination. Moreover, we use the Faber polynomial expansions and Fibonacci numbers to derive bounds for the general
Şahsene Altınkaya +2 more
doaj +1 more source
Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We obtain the Kirillov vector fields on the set of functions $f$ univalent inside the unit disk, in terms of the Faber polynomials of $1/f(1/z)$. Our construction relies on the generating function for Faber polynomials.
Helene Airault
doaj +1 more source
Approximation Properties of de la Vallée-Poussin sums in Morrey spaces
Sultan Qaboos University Journal for Science, 2018 In this paper, we investigate the problem of the deviation of a function from its de la Vallée-Poussin sums of Fourier series in Morrey spaces defined on the unite circle in terms of the best approximation to . Moreover, approximation properties of de
Ahmed Kinj +2 more
doaj +1 more source
Canonical Antibodies Adopt Distinct Binding Modes to Recognize Viral Glycan Shields
Advanced Science, EarlyView.Canonical Y‐shaped antibodies recognize viral glycan shields through adaptive Fab assembly states shaped by glycan organization and somatic hypermutation. Structural analyses ofbroadly neutralizing antibodies VRC35 and VRC36 across glycoproteins of HIV‐1, influenza, SARS‐CoV‐2, and Lassa viruses reveal distinct Fab assembly states, spanning monovalent,
Jiaxuan Cheng +71 more
wiley +1 more source