Results 21 to 30 of about 32,486 (162)

Faber Polynomial Coefficient Estimates of m-Fold Symmetric Bi-Univalent Functions with Bounded Boundary Rotation

open access: yesMathematics
In the current article, we introduce several new subclasses of m-fold symmetric analytic and bi-univalent functions associated with bounded boundary and bounded radius rotation within the open unit disk D.
Anandan Murugan   +3 more
doaj   +2 more sources

Investigation on polynomial integrators for time-domain electromagnetics using a high-order discontinuous Galerkin method

open access: yes, 2012
International audienceIn this work, we investigate the application of polynomial integrators in a high-order discontinuous Galerkin method for solving the time-domain Maxwell equations. After the spatial discretization, we obtain a time-continuous system
Fahs, Hassan
core   +4 more sources

A Subclass of bi-univalent functions by Tremblay differential operator satisfying subordinate conditions [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
In this paper, we introduce a newly defined  subclass $\mathcal{S}_{\Sigma}(\vartheta,\gamma,\eta;\varphi) $ of bi-univalent functions by using the Tremblay differential operator satisfying subordinate conditions in the unit disk.
Somayeh Fadaei   +2 more
doaj   +1 more source

Certain class of m-fold functions by applying Faber polynomial expansions [PDF]

open access: yesStudia Universitatis Babes-Bolyai Matematica, 2021
"In this paper, we introduce new class $\Sigma_{m}(\mu,\lambda,\gamma,\beta)$ of $m$-fold symmetric bi-univalent functions. Furthermore, we use the Faber polynomial expansions to find upper bounds for the general coefficients $|a_{mk+1}|(k \geqq 2)$ of functions in the class $\Sigma_{m}(\mu,\lambda,\gamma,\beta)$. Moreover, we obtain estimates for the
Ahmad Motamednezhad, Safa Salehian
openaire   +1 more source

Automated Infant Eye Tracking: A Systematic Historical Review. [PDF]

open access: yesInfancy
ABSTRACT Automated eye tracking has emerged as a powerful method in psychology, and has special benefits when studying infant populations. The field has developed much during the last decades, and while there are numerous reviews on methodological aspects and specific research topics, a general overview of the state and trends of the field has been ...
Nyström P   +6 more
europepmc   +2 more sources

Generalizing Certain Analytic Functions Correlative to the n-th Coefficient of Certain Class of Bi-Univalent Functions

open access: yesJournal of Mathematics, 2021
In the present paper, the authors implement the two analytic functions with its positive real part in the open unit disk. New types of polynomials are introduced, and by using these polynomials with the Faber polynomial expansion, a formula is structured
Hameed Ur Rehman   +2 more
doaj   +1 more source

Controlled Loewner-Kufarev Equation Embedded into the Universal Grassmannian [PDF]

open access: yes, 2020
We introduce the class of controlled Loewner-Kufarev equations and consider aspects of their algebraic nature. We lift the solution of such a controlled equation to the (Sato)-Segal-Wilson Grassmannian, and discuss its relation with the tau-function.
Amaba, Takafumi, Friedrich, Roland
core   +3 more sources

A Subclass of Bi-Univalent Functions Based on the Faber Polynomial Expansions and the Fibonacci Numbers [PDF]

open access: yesMathematics, 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 coefficient of the bi-univalent function class.
Şahsene Altınkaya   +2 more
openaire   +3 more sources

Based on a family of bi-univalent functions introduced through the Faber polynomial expansions and Noor integral operator

open access: yesAIMS Mathematics, 2022
<abstract><p>In this study, by using $ q $-analogue of Noor integral operator, we present an analytic and bi-univalent functions family in $ \mathfrak{D} $. We also derive upper coefficient bounds and some important inequalities for the functions in this family by using the Faber polynomial expansions. Furthermore, some relevant corollaries
Sakar, F. Müge, Akgül, Arzu
openaire   +4 more sources

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

open access: yes, 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 $1/f(1/z)$.
Airault, Helene
core   +4 more sources

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