Results 21 to 30 of about 1,435,629 (148)

Sums of finite products of Genocchi functions

Advances in Difference Equations, 2017
In a previous work, it was shown that Faber-Pandharipande-Zagier and Miki’s identities can be derived from a polynomial identity which in turn follows from a Fourier series expansion of sums of products of Bernoulli functions.
Taekyun Kim, Dae San Kim, Lee Chae Jang, Gwan-Woo Jang   +3 more
doaj   +1 more source

Expansion of analytic functions of an operator in series of Faber polynomials [PDF]

Bulletin of the Australian Mathematical Society, 1997
Let T: B → B be a bounded linear operator on the complex Banach space B and let f(z) be analytic on a domain D containing the spectrum Sp(T) of T. Then f(T) is defined bywhere C is a contour surrounding SP(T) and contained in D.
openaire   +1 more source

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

A two-variable approach to solve the polynomial Lyapunov equation

, 2001
A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is proposed. Lifting the problem from the one-variable to the two-variable context allows to use Faddeev-type recursions in order to solve the polynomial Lyapunov ...
Peeters, Ralf, Rapisarda, Paolo
core   +2 more sources

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

Artificial Intelligence‐Assisted Workflow for Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling

Advanced Materials, Volume 38, Issue 51, 11 September 2026.
AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll, Ivan Pinto‐Huguet, Enzo Rotunno, Thomas Galvani, Catalina Coll, Payam Habibzadeh Kavkani, Maria Chiara Spadaro, Yann‐Michel Niquet, Martin Børstad Eriksen, Sara Martí‐Sánchez, Georgios Katsaros, Giordano Scappucci, Peter Krogstrup, Giovanni Isella, Andreu Cabot, Gonzalo Merino, Pablo Ordejón, Stephan Roche, Vincenzo Grillo, Jordi Arbiol   +19 more
wiley   +1 more source

The Faber polynomials for annular sectors and an application to the iterative solution of linear systems of equations [PDF]

, 1994
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.
Myers, Nicholas John, Myers, N.J
core  

EfficientNet‐B0–Based Screening of WBC‐Diff Scattergram Images for Hematological Abnormalities

Cancer Medicine, Volume 15, Issue 9, September 2026.
ABSTRACT White blood cell differential (WBC‐Diff) scattergrams are used to screen for hematological abnormalities in potential hematopoietic malignancies and abnormal conditions. However, these potential indications can be easily missed. We applied deep learning models to develop a new and rapid workflow by learning the characteristics of WBC‐Diff ...
Mingzhu Long, Xuan Luo, Lixia Zhang, Te Chen, Haixia Wang   +4 more
wiley   +1 more source