Results 61 to 70 of about 439 (121)
Coefficient, Distortion and Growth Inequalities for Certain Close-to-Convex Functions [PDF]
, 2011 In the present investigation, certain subclasses of close-to-convex functions are investigated. In particular, we obtain an estimate for the Fekete-Szeg\"o functional for functions belonging to the class, distortion, growth estimates and covering ...
AW Goodman +14 more
core +2 more sources
Fibonacci Numbers Related to Some Subclasses of Bi‐Univalent Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.This research paper introduces the novel subclass ϒΣϑ,β,μq˜ of bi‐univalent functions that are connected to Fibonacci numbers. Our main contributions in this study involve establishing constraints on the absolute values of the second coefficient |a2| and the third coefficient |a3| for functions within this specific subclass.
Ala Amourah +4 more
wiley +1 more source
Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers
Journal of Mathematics, Volume 2024, Issue 1, 2024.This study defines three novel classes of bi‐univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients |a2| and |a3| and Fekete–Szegö functional problems for functions involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy +5 more
wiley +1 more source
Maclaurin Coefficient Estimates of Bi-Univalent Functions Connected with the q-Derivative
Mathematics, 2020 In this paper we introduce a new subclass of the bi-univalent functions defined in the open unit disc and connected with a q-analogue derivative. We find estimates for the first two Taylor-Maclaurin coefficients a 2 and a 3 for ...
Sheza M. El-Deeb +2 more
doaj +1 more source
Journal of Inequalities and Applications, 2023 The objective of this paper is to introduce new classes of m-fold symmetric bi-univalent functions. We discuss estimates on the Taylor–Maclaurin coefficients | a m + 1 | $|a_{m+1}|$ and | a 2 m + 1 | $|a_{2m+1}|$ , and the Fekete–Szegő problem is also ...
Daniel Breaz, Luminiţa-Ioana Cotîrlă
doaj +1 more source
Axioms, 2023 The purpose of this article is to introduce and study certain families of normalized certain functions with symmetric points connected to Gegenbauer polynomials.
Yahya Almalki +4 more
doaj +1 more source
On the Fekete–Szegö type functionals for functions which are convex in the direction of the imaginary axis [PDF]
, 2020 In this paper we consider two functionals of the Fekete–Szegö type: $\Phi _f(\mu ) = a_2 a_4-\mu a_3{}^2$ and $\Theta _f(\mu ) = a_4-\mu a_2a_3$ for analytic functions $f(z) = z+a_2z^2+a_3z^3+\ldots $, $z\in \Delta $, ($\Delta = \lbrace z\in \mathbb{C ...
Paweł Zaprawa
core +2 more sources
Axioms, 2022 The present paper introduces a new class of bi-univalent functions defined on a symmetric domain using Gegenbauer polynomials. For functions in this class, we have derived the estimates of the Taylor–Maclaurin coefficients, a2 and a3, and the Fekete ...
Mohamed Illafe +2 more
doaj +1 more source
George Pólya: el razonamiento plausible [PDF]
, 2013 Presentamos algunos aspectos de la vida del gran matemático, George Pólya así como sus ideas acerca de las técnicas para enseñar matemáticas por medio de la resolución de problemas y una aproximación a su concepto de pensamiento ...
Arguedas, Vernor
core
The Study of the New Classes of m-Fold Symmetric bi-Univalent Functions
Mathematics, 2021 In this paper, we introduce three new subclasses of m-fold symmetric holomorphic functions in the open unit disk U, where the functions f and f−1 are m-fold symmetric holomorphic functions in the open unit disk.
Daniel Breaz, Luminiţa-Ioana Cotîrlă
doaj +1 more source