Results 41 to 50 of about 181 (148)

The zeros of Faber polynomials generated by an 𝑚-star [PDF]

Mathematics of Computation, 1996
It is shown that the zeros of the Faber polynomials generated by a regular m m -star are located on the
openaire   +4 more sources

Comparative AI‐Based Framework for Name‐Based Demographic Inference in the Indian Subcontinent

Engineering Reports, Volume 8, Issue 6, June 2026.
A multi‐task framework of five AI models (SVM, XGBoost, LightGBM, BiLSTM, and XLM‐RoBERTa) infers nationality, religion, and gender from personal names across seven Indian subcontinent countries. Character‐level TF‐IDF with SVM achieves the highest accuracy: 83.23% for nationality, 92.94% for religion, and 92.67% for gender across 7581 names.
Sherin Sultana, Zaed Bin Monir Atib, Md. Omur Faruk Redoy, Md. Ataur Rahman, Mohammad Shorif Uddin, Md. Tarek Habib   +5 more
wiley   +1 more source

Rate of pole detection using Padé approximants to polynomial expansions

Demonstratio Mathematica
Padé approximations constructed from orthogonal and Faber polynomials on some compact set EE serve as tools to detect poles of an approximated function around the set EE.
Wajasat Methawee, Bosuwan Nattapong
doaj   +1 more source

On the local asymptotics of Faber polynomials [PDF]

Proceedings of the American Mathematical Society, 1999
We study a local asymptotics of the (generalized) Faber polynomials at the boundary of the associated domain, under certain mild smoothness conditions on the weight function and geometric conditions on the boundary. The main result exhibits how this asymptotics depends on the corners at the boundary.
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Polymer informatics: Integrating data‐driven strategies, advanced machine learning, and automated synthesis for next‐generation polymer design

InfoScience, Volume 3, Issue 2, June 2026.
Designing new polymers for applications such as sustainable plastics, biomaterials, and 3D printing has traditionally been slow and expensive, relying heavily on trial‐and‐error experiments. This review shows how polymer informatics—the integration of large polymer databases, machine‐learning models, and automated robotic synthesis—enables fast ...
Md. Saiful Islam, Tamanna Hoque, Junied Islam Shuvo, Sheta Roy Tori, Sadit Bihongo Malitha, Md. Zahangir Alam, A. M. Sarwaruddin Chowdhury   +6 more
wiley   +1 more source

An algebraic structure for Faber polynomials

Linear Algebra and its Applications, 2010
Let \(\Sigma= \big\{f(z): f(z)+ z+\sum^\infty_{n=0} a_n z^{-n},|z|> 1\big\}\). The Faber polynomials \(F_n(t)\) associated to \(f\) are defined by the relation \[ {f'(z)\over f(z)- t}= \sum^\infty_{n=0} F_n(t)z^{-(n+1)}. \] It is known that they appear in various problems concerning univalent functions.
Cheon, Gi-Sang, Kim, Hana, Shapiro, Louis W.   +2 more
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Gram Decay and Intrinsic Dimensions of Krylov Subspaces

Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
ABSTRACT Krylov subspace methods solve large sparse linear systems Ax=b$$ Ax=b $$ by building a sequence of polynomial approximations to A−1b$$ {A}^{-1}b $$ from successive matrix‐vector products. In finite precision, the number of numerically independent directions that can be extracted from this sequence is bounded by the intrinsic information ...
Stephen J. Thomas
wiley   +1 more source

Rigidity of balls in the solid mean value property for polyharmonic functions

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We show that balls are the only open bounded domains for which the mean value formula for polyharmonic functions holds. We do so by adapting an argument of Ü. Kuran for harmonic functions. We also, provide a quantitative version of the same result.
Nicola Abatangelo
wiley   +1 more source

Faber Polynomial Coefficients of Classes of Meromorphic Bistarlike Functions [PDF]

International Journal of Mathematics and Mathematical Sciences, 2015
Applying the Faber polynomial coefficient expansions to certain classes of meromorphic bistarlike functions, we demonstrate the unpredictability of their early coefficients and also obtain general coefficient estimates for such functions subject to a given gap series condition. Our results improve some of the coefficient bounds published earlier.
Jay M. Jahangiri, Samaneh G. Hamidi
openaire   +3 more sources

MagPiezo: A Magnetogenetic Platform for Remote Activation of Endogenous Piezo1 Channels in Endothelial Cells

Advanced Functional Materials, Volume 36, Issue 31, 16 April 2026.
MagPiezo enables wireless activation of endogenous Piezo1 channels without genetic modification using 19 nm magnetic nanoparticles and low‐intensity magnetic fields. It generates torque forces at the piconewton scale to trigger mechanotransduction in endothelial cells, standing as a novel platform to interrogate and manipulate Piezo1 activity in vitro.
Susel Del Sol‐Fernández, Mariarosaria De Simone, Yilian Fernández‐Afonso, Daniel Garcia‐Gonzalez, Pablo Martínez‐Vicente, Thomas van Zanten, Raluca M. Fratila, Maria Moros   +7 more
wiley   +1 more source