Results 61 to 70 of about 3,690,143 (190)

New classes of analytic and bi-univalent functions

AIMS Mathematics, 2021
<abstract><p>Using the (p, q)-derivative operator we introduce new subclasses of analytic and bi-univalent functions, we obtain estimates on coefficients and the Fekete-Szegö functional.</p></abstract>
openaire   +2 more sources

Coefficient Bounds for a Certain Class of Analytic and Bi-Univalent Functions

, 2015
In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk U. By using the Faber polynomial expansions, we obtain upper bounds for the coefficients of functions belonging to this analytic and bi ...
Eker, Sevtap Sumer, Ali, Rosihan M., Srivastava, H. M.   +2 more
core   +1 more source

Euler Polynomials and Bi-univalent Functions

European Journal of Pure and Applied Mathematics
Our research introduces new subclasses of analytical functions that are defined by Euler polynomials. We then proceed to estimate the Fekete-Szego functional problem and the Maclaurin coefficients for this specific subfamily, denoted as |a2| and |a3|. Furthermore, we demonstrate several new results that emerge when we specialize the parameters used in ...
Ala Amourah, Dunia Jarwan, Jamal Salah, M. J. Mohammed, S. A. Meqdad, Nidal Anakira   +5 more
openaire   +1 more source

New Subclasses of Bi-univalent Functions of Complex Order Associated with Hypergeometric Functions

, 2021
In the present paper, new subclasses of bi-univalent functions of complex order associated with hypergeometric functions are introduced and coefficient estimates for functions in these classes are obtained.
Güney H.ö., Murugusundaramoorthy G., Vijaya K.   +2 more
core   +3 more sources

Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series [PDF]

Sahand Communications in Mathematical Analysis
The present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT).
Tunji Ibrahim Awolere, Abiodun Tinuoye Oladipo, Şahsene Altınkaya   +2 more
doaj   +1 more source

Coefficient Estimates for a Subclass of Bi-univalent Functions

Communications on Advanced Computational Science with Applications, 2015
In this paper, we consider a subclass $S_{\Sigma}(\alpha,\beta)$ of bi-univalent functions defined in the open unit disk $D=\lbrace z\in\mathbb{C}:|z|< 1\rbrace$. Besides, we find upper bounds for the second and third coefficients for functions in this subclass.
S. Azizi, A. Ebadian, Sh. Najafzadeh
openaire   +1 more source

Certain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator [PDF]

Sahand Communications in Mathematical Analysis, 2017
In this paper, we introduce and investigate two new subclasses of the functions class $ Sigma $ of bi-univalent functions defined in the open unit disk, which are associated with the Aghalary-Ebadian-Wang operator. We  estimate the coefficients $|a_{2} |$
Hamid Shojaei
doaj  

Coefficient Bounds and Fekete-Szego Inequalities for a Subclass of Bi-Univalent Functions Defined via ϱ Neutrosophic-Poisson Distribution [PDF]

Neutrosophic Sets and Systems
In the present study, we introduce a new subclass of bi-univalent analytic functions defined on the open unit disk , generated via the generalized neutrosophic-Poisson distribution (NqPD) series in conjunction with the structural framework of the ...
Abdullah Alsoboh, Mustafa A. Sabri, Hasan Almutairi, Yousef Al-Qudah, Ala Amourah, Abdullrahman A. Al-Maqbali   +5 more
doaj   +1 more source

Coefficient problem for certain subclasses of bi-univalent functions defined by convolution [PDF]

Mathematica Moravica, 2016
In this paper, we consider a general subclass HλΣ (h, β) of bi-univalent functions. Bounds on the first two coefficients اa2ا and اa3ا for functions in HλΣ (h, β) are given. The main results generalize and improve a recent one obtained by Srivastava [18].
Altınkaya Sahsene, Yalçın Sibel
doaj  

Coefficient Estimates for Subclasses of Bi-Univalent Functions

Journal of Al-Qadisiyah for Computer Science and Mathematics, 2018
 In the present paper, we introduce two new subclasses of  the class consisting of analytic and bi-univalent functions in the open unit disk . Also, we obtain the estimates on the Taylor-Maclurin   coefficients and for functions in these subclasses. We obtain new special cases for our results.
Waggas Galib Atshan, Rajaa Ali Hiress
openaire   +2 more sources