Results 21 to 30 of about 82 (70)

The Faber polynomial expansion method and its application to the general coefficient problem for some subclasses of bi-univalent functions associated with a certain q-integral operator [PDF]

Studia Universitatis Babes-Bolyai Matematica, 2018
In our present investigation, we first introduce several new subclasses of analytic and bi-univalent functions by using a certain $q$-integral operator in the open unit disk $$\mathbb{U}=\{z: z\in \mathbb{C} \quad \text{and} \quad \left \vert z\right \vert
Hari Mohan Srivastava, Shahid Khan, Qazi Zahoor Ahmad, Nazar Khan, Saqib Hussain   +4 more
openaire   +1 more source

Certain new applications of Faber polynomial expansion for some new subclasses of $ \upsilon $-fold symmetric bi-univalent functions associated with $ q $-calculus

AIMS Mathematics, 2023
<abstract><p>In this article, we define the $ q $-difference operator and Salagean $ q $-differential operator for $ \upsilon $-fold symmetric functions in open unit disk $ \mathcal{U} $ by first applying the concepts of $ q $-calculus operator theory. Then, we considered these operators in order to construct new subclasses for $ \upsilon $-
openaire   +2 more sources

Faber Polynomial Coefficients and Applications in Analytic Function Class

Journal 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

Coefficient bounds for a new subclass of analytic bi-close-to-convex functions by making use of Faber polynomial expansion

TURKISH JOURNAL OF MATHEMATICS, 2017
Summary: Recently, in the literature, we can see quite a few papers about general coefficient bounds for subclasses of bi-univalent functions. However, we can find just a few papers about general coefficient estimates for subclasses of bi-close-to-convex functions.
Sakar, Fethiye Müge, Güney, Hatun Özlem   +1 more
openaire   +4 more sources

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, Evan M. Cale, Amirabbas Maghsoudi, Matthew S. Sutton, Nancy S. Longo, Rebecca A. Gillespie, Lingshu Wang, Ivan Kosik, Sue Chong, Atsuhiro Yasuhara, Tatsiana Bylund, Arne Schön, Prabhanshu Tripathi, Yaroslav Tsybovsky, Haotian Lei, Nicholas C. Morano, Allison B. Lupatkin, Abraham J. Morton, Zabrina C. Lang, Jordan E. Becker, Isabella R. Frascilla, Myungjin Lee, Ning Li, Cuiping Liu, Ryan S. Roark, Chen‐Hsiang Shen, I‐Ting Teng, David J. Van Wazer, Danyi Wang, Lingyuan Wu, Goran Ahlsen, Mike Castro, Haijuan Du, Michael J. Ernandes, Tiansheng Li, Bob C. Lin, Mark K. Louder, Krisha McKee, Jonah S. Merriam, Sijy O'Dell, Li Ou, Sergei Pletnev, David Prikryl, Qi Qiu, Sarah Rubin, Mallika Sastry, Stephen D. Schmidt, Asif Shajahan, Andrea R. Shiakolas, Sanjay Srivatsan, Baoshan Zhang, Qiong Zhou, Mark Connors, Jason G. Gall, Yicheng Guo, Rick K. Huang, Yaoxing Huang, Richard A. Koup, Q. Paula Lei, John R. Mascola, Reda Rawi, Leonid Serebryannyy, Lawrence Shapiro, Zizhang Sheng, David D. Ho, Patrick C. Wilson, Jonathan W. Yewdell, Theodore C. Pierson, Masaru Kanekiyo, Nicole A. Doria‐Rose, Peter D. Kwong, Tongqing Zhou   +71 more
wiley   +1 more source

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

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

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

On the some subclasses of bi-univalent functions related to the Faber polynomial expansions and the Fibonacci numbers

Rendiconti di Matematica e delle Sue Applicazioni, 2020
Summary: In this investigation, by using the Tremblay fractional derivative operator, we introduce the new class \(\mathfrak{I}^{\mu,\rho}_{\Sigma,\gamma} (\widetilde{\mathfrak{p}})\) 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 ...
Yalçın Tokgöz, Sibel, Altınkaya, Şahsene   +1 more
openaire   +3 more sources