Results 31 to 40 of about 325 (120)

Fekete–Szegö Inequality for Bi-Univalent Functions Subordinate to Horadam Polynomials

Journal of Function Spaces, 2022
Making use of Horadam polynomials, we propose a special family of regular functions of the type gz=z+∑j=2∞djzj which are bi-univalent (or bi-schlicht) in the disc z∈ℂ ...
Amnah E. Shammaky, Basem Aref Frasin, Sondekola Rudra Swamy   +2 more
doaj   +1 more source

Fekete–Szegö Problems for Certain Classes of Meromorphic Functions Involving q‐Al‐Oboudi Differential Operator

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we introduce a new derivative operator involving q‐Al‐Oboudi differential operator for meromorphic functions. By using this new operator, we define a new subclass of meromorphic functions and obtain the Fekete–Szegő inequalities.
M.K. Aouf, Fatma Z. El-Emam, Xiaolong Qin   +2 more
wiley   +1 more source

Coefficient Related Studies for New Classes of Bi-Univalent Functions

Mathematics, 2020
Using the recently introduced Sălăgean integro-differential operator, three new classes of bi-univalent functions are introduced in this paper. In the study of bi-univalent functions, estimates on the first two Taylor–Maclaurin coefficients are usually ...
Ágnes Orsolya Páll-Szabó, Georgia Irina Oros   +1 more
doaj   +1 more source

On a Subclass of Analytic Functions That Are Starlike with Respect to a Boundary Point Involving Exponential Function

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In the present exploration, the authors define and inspect a new class of functions that are regular in the unit disc D≔ς∈ℂ:ς<1, by using an adapted version of the interesting analytic formula offered by Robertson (unexploited) for starlike functions with respect to a boundary point by subordinating to an exponential function.
Adam Lecko, Gangadharan Murugusundaramoorthy, Srikandan Sivasubramanian, Mohsan Raza   +3 more
wiley   +1 more source

Consolidation of a Certain Discrete Probability Distribution with a Subclass of Bi‐Univalent Functions Involving Gegenbauer Polynomials

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this work, we introduce and investigate a new subclass of analytic bi‐univalent functions based on subordination conditions between the zero‐truncated Poisson distribution and Gegenbauer polynomials. More precisely, we will estimate the first two initial Taylor–Maclaurin coefficients and solve the Fekete–Szegö functional problem for functions ...
Ala Amourah, Mohammad Alomari, Feras Yousef, Abdullah Alsoboh, Ismail Shah   +4 more
wiley   +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   +4 more sources

Applications of q‐Derivative Operator to the Subclass of Bi‐Univalent Functions Involving q‐Chebyshev Polynomials

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In recent years, the usage of the q‐derivative and symmetric q‐derivative operators is significant. In this study, firstly, many known concepts of the q‐derivative operator are highlighted and given. We then use the symmetric q‐derivative operator and certain q‐Chebyshev polynomials to define a new subclass of analytic and bi‐univalent functions.
Bilal Khan, Zhi-Guo Liu, Timilehin Gideon Shaba, Serkan Araci, Nazar Khan, Muhammad Ghaffar Khan, Om P. Ahuja   +6 more
wiley   +1 more source

Initial Coefficients Estimates and Fekete–Szegö Inequality Problem for a General Subclass of Bi-Univalent Functions Defined by Subordination

Axioms, 2023
In the present work, we aim to introduce and investigate a novel comprehensive subclass of normalized analytic bi-univalent functions involving Gegenbauer polynomials and the zero-truncated Poisson distribution. For functions in the aforementioned class,
Mohamed Illafe, Feras Yousef, Maisarah Haji Mohd, Shamani Supramaniam   +3 more
doaj   +1 more source

Some Sharp Results on Coefficient Estimate Problems for Four‐Leaf‐Type Bounded Turning Functions

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this study, we focused on a subclass of bounded turning functions that are linked with a four‐leaf‐type domain. The primary goal of this study is to explore the limits of the first four initial coefficients, the Fekete‐Szegö type inequality, the Zalcman inequality, the Kruskal inequality, and the estimation of the second‐order Hankel determinant for
Pongsakorn Sunthrayuth, Yousef Jawarneh, Muhammad Naeem, Naveed Iqbal, Jeevan Kafle, Sarfraz Nawaz Malik   +5 more
wiley   +1 more source

Fekete–Szegö Functional Problem for a Special Family of m-Fold Symmetric Bi-Univalent Functions

Mathematics, 2022
In the current work, we introduce a special family of the function family of analytic and m-fold symmetric bi-univalent functions and obtain estimates of the Taylor–Maclaurin coefficients |dm+1| and |d2m+1| for functions in the special family.
Sondekola Rudra Swamy, Basem Aref Frasin, Ibtisam Aldawish   +2 more
doaj   +1 more source