Results 21 to 30 of about 186 (152)

Faber Polynomial Coefficient Estimates for Subclass of Analytic Bi-Bazilevic Functions Defined by Differential Operator

open access: yesمجلة 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]

open access: yesMathematics 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]

open access: yesProceedings 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

Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials

open access: yesSymmetry, 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

open access: yesSultan 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

The Faber polynomials for annular sectors [PDF]

open access: yesMathematics of Computation, 1995
A conformal mapping of the exterior of the unit circle to the exterior of a region of the complex plane determines the Faber polynomials for that region. These polynomials are of interest in providing near-optimal polynomial approximations in a variety of contexts, including the construction of semiiterative methods for linear ...
Coleman, John P., Myers, Nick J.
openaire   +2 more sources

Model‐Driven Monitoring and Parameter‐Based Development of an Escherichia coli Fed‐Batch Process for Production of a Fab Antibody Fragment Across Scales

open access: yesBiotechnology and Bioengineering, EarlyView.
ABSTRACT Maintaining consistent cellular physiology during bioprocess scale‐up or scale‐down is key to developing robust processes. However, the reliability of scale‐down bioreactor systems remains debated. Although the calibration of physiological parameters in mechanistic models across scales has been proposed as a scale‐down strategy, few studies ...
Fabian Schröder‐Kleeberg   +8 more
wiley   +1 more source

Effective Modeling of Continuous Wave Z‐Spectra for Quantitative CEST and CESL MRI Across Exchange Regimes

open access: yesMagnetic Resonance in Medicine, Volume 96, Issue 5, Page 2474-2488, November 2026.
Purpose Chemical exchange saturation transfer (CEST) and chemical exchange‐sensitive spin‐lock (CESL) MRI enable spectroscopic imaging with high sensitivity, but conventional analysis methods often fail as exchange approaches the fast‐exchange limit.
Chris Lippe, Verena Hoerr
wiley   +1 more source

Faber Polynomial Coefficients and Applications in Analytic Function Class

open access: yesJournal of Mathematics
Through this paper, by using the subordination definition, the ℘-analogues Cătaş operator I℘nλ,I, complex order, and biunivalent functions with coefficients introduced by Faber polynomial expansion, we introduced the new class S℘,n∗f,λ,I,ξ,α,ϕ.
Samar Mohamed, Fatma Z. El-Emam
doaj   +1 more source

Evidence for regulation of transpiration in nonstomatal plants: insights from bryophyte gametophytes

open access: yesNew Phytologist, Volume 252, Issue 1, Page 54-68, October 2026.
Kinetics of cell wall water vapor potential (Ψcw) and resistance of cell wall and plasmatic membrane to water flux in response to cytoplasmic water potential (Ψcyt) during dehydration. Ψcyt was calculated from the WC at any moment of the dehydration curve by using the relationship between −1/Ψw and WC of pressure volume curves and assuming Ψw = Ψcyt ...
Alicia V. Perera‐Castro   +3 more
wiley   +1 more source

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