Results 71 to 80 of about 5,509 (167)

Fibonacci Numbers Related to Some Subclasses of Bi‐Univalent Functions

International Journal of Mathematics and Mathematical Sciences
This research paper introduces the novel subclass 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. In addition, we provide solutions to
Ala Amourah, Basem Aref Frasin, Jamal Salah, Tariq Al-Hawary   +3 more
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Sakaguchi type functions defined by balancing polynomials [PDF]

Mathematica Bohemica
The class of Sakaguchi type functions defined by balancing polynomials has been introduced as a novel subclass of bi-univalent functions. The bounds for the Fekete-Szegö inequality and the initial coefficients $\vert a_2\vert$ and $\vert a_3\vert$ have ...
Gunasekar Saravanan, Sudharsanan Baskaran, Balasubramaniam Vanithakumari, Serap Bulut   +3 more
doaj   +1 more source

Coefficient estimates for a certain subclass of bi-univalent functions

Le Matematiche, 2016
Summary: In the present investigation, we find estimates on the coefficients \(|a_2|\) and \(|a_3|\) for functions in the function class \(S_\Sigma(\lambda,h)\). The results presented in this paper improve or generalize the recent work of \textit{N. Magesh} and \textit{J. Yamini} [Int. Math. Forum 8, No. 25--28, 1337--1344 (2013; Zbl 1283.30030)].
Yalcin, Sibel, Altınkaya, Şahsene
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Second Hankel Determinant for Bi-Univalent Analytic Functions Associated with Hohlov Operator

International Journal of Analysis and Applications, 2015
In the present paper, we consider asubclass of the function class $\Sigma$ of bi-univalent analytic functions in the open unit disk $\Delta$ associated with Hohlovoperator and we obtain the functional $|a_2a_4 - a_3^2|$ for the function class $\Sigma ...
G. Murugusundaramoorthy, K. Vijaya
doaj   +2 more sources

Bi-Univalent Function Classes Defined by Imaginary Error Function and Bernoulli Polynomials

Axioms
In recent years, special functions have played a significant role in the investigation of different subclasses within the class of bi-univalent functions. In this work, we present and investigate two new subclasses of bi-univalent functions defined in U={
Ibtisam Aldawish, Sondekola Rudra Swamy, Basem Aref Frasin, Supriya Chandrashekharaiah   +3 more
doaj   +1 more source

On some subclasses of m-fold symmetric bi-univalent functions

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2018
In this work, we introduce two new subclasses S_{{\Sigma}_{m}}({\alpha},{\lambda}) and S_{{\Sigma}_{m}}(\b{eta},{\lambda}) of {\Sigma}_{m} consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disk U. Furthermore, for functions in each of the subclasses introduced in this paper, we obtain the coefficient bounds for |a_{m+1}
ALTINKAYA, Şahsene, YALÇIN, Sibel
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Inequalities of a Class of Analytic Functions Involving Multiplicative Derivative

Mathematics
Using the concepts of multiplicative calculus and subordination of analytic functions, we define a new class of starlike bi-univalent functions based on a symmetric operator, which involved the three parameter Mittag-Leffler function.
Kadhavoor R. Karthikeyan, Daniel Breaz, Gangadharan Murugusundaramoorthy, Ganapathi Thirupathi   +3 more
doaj   +1 more source

Coefficient Bounds for a General Subclass of Bi-Univalent Functions

Le Matematiche, 2016
In the present investigation, we introduce and investigate a new subclass of the function class Sigma of bi-univalent functions defined in the open unit disc. We find estimates on the coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for functions in the function class S-Sigma (n, h, lambda).
Yalcin, SİBEL, ALTINKAYA, ŞAHSENE
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Some Evaluations About Coefficients Boundaries for Specific Classes of Bi-Univalent Functions

Axioms
New subclasses of bi-univalent functions with bounded boundary rotation are presented in this study. We acquired estimates for the initial coefficients a2, a3 and a4.
Suliman M. Sowileh, Gangadharan Murugusundaramoorthy, Borhen Halouani, Ibrahim S. Elshazly, Mohamed A. Mamon, Alaa H. El-Qadeem   +5 more
doaj   +1 more source

On Coefficient problem for bi-univalent analytic functions

, 2017
Estimates for initial coefficients of Taylor-Maclaurin series of bi-univalent functions belonging to certain classes defined by subordination are obtained. Our estimates improve upon the earlier known estimates for second and third coefficient. The bound for the fourth coefficient is new.
Bohra, Nisha, Ravichandran, V.
openaire   +2 more sources