Results 101 to 110 of about 2,065 (197)

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

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 New Subclasses of Bi-Univalent Functions with Bounded Boundary Rotation by Using Faber Polynomial Technique

Axioms
In this article, the authors use the Faber polynomial expansions to find the general coefficient estimates for a few new subclasses of bi-univalent functions with bounded boundary rotation and bounded radius rotation.
Huo Tang, Prathviraj Sharma, Srikandan Sivasubramanian   +2 more
doaj   +1 more source

Texture analysis using Horadam polynomial coefficient estimate for the class of Sakaguchi kind function. [PDF]

Sci Rep, 2023
Priya H, Sruthakeerthi B.
europepmc   +1 more source

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

Subclasses of bi-univalent functions defined by convolution

Journal of the Egyptian Mathematical Society, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Coefficient Estimates of Meromorphic Bi- Starlike Functions of Complex Order

International Journal of Analysis and Applications, 2013
In the present investigation, we define a new subclass of meromorphic bi-univalent functions class Σ' of complex order γ ∈ C\{0}, and obtain the estimates for the coefficients |b0| and |b1|. Further we pointed out several new or known consequences of our
T. Janani, G. Murugusundaramoorthy
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

Coefficient estimates for a new subclass of analytic and bi-univalent functions defined by convolution [PDF]

, 2016
Bukut, Serap
core   +1 more source

Applications of Caputo-Type Fractional Derivatives for Subclasses of Bi-Univalent Functions with Bounded Boundary Rotation

Fractal and Fractional
In this article, for the first time by using Caputo-type fractional derivatives, we introduce three new subclasses of bi-univalent functions associated with bounded boundary rotation in an open unit disk to obtain non-sharp estimates of the first two ...
Kholood M. Alsager, Gangadharan Murugusundaramoorthy, Adriana Catas, Sheza M. El-Deeb   +3 more
doaj   +1 more source