Results 1 to 10 of about 5,509 (167)

Ozaki-Type Bi-Close-to-Convex and Bi-Concave Functions Involving a Modified Caputo’s Fractional Operator Linked with a Three-Leaf Function

Fractal and Fractional
The focus of the present work is on the establishment and investigation of the coefficient estimates of two new subclasses of bi-close-to-convex functions and bi-concave functions; these are of an Ozaki type and involve a modified Caputo’s fractional ...
Kaliappan Vijaya, Gangadharan Murugusundaramoorthy, Daniel Breaz, Georgia Irina Oros, Sheza M. El-Deeb   +4 more
doaj   +1 more source

Hankel Inequalities for a Subclass of Bi-Univalent Functions based on Salagean type q-Difference Operator

Journal of Mathematical and Fundamental Sciences, 2020
In this investigation a new subclass of bi-univalent functions is established that is defined in the open unit disk Δ={𐌶 ∈ ℂ: |𐌶| < 1} and are endowed with the Sălăgean type q-difference operator.
Sibel Yalçın, Åžahsene Altınkaya, Gangadharan Murugusundaramoorthy, Kaliappan Vijaya   +3 more
doaj   +1 more source

Coefficient Estimates for Bi-Univalent Bazilevic Functions

Analysis in Theory and Applications, 2014
In this paper we consider the class of Bazilevic functions for bi-univalent functions. For this we will estimate the coefficients $a_2$ and $a_3$ using Caratheodory functions and the method of differential subordination.
openaire   +1 more source

Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using q-Chebyshev Polynomial and Hohlov Operator

Fractal and Fractional, 2022
The q-derivative and Hohlov operators have seen much use in recent years. First, numerous well-known principles of the q-derivative operator are highlighted and explained in this research.
Isra Al-Shbeil, Timilehin Gideon Shaba, Adriana Cătaş   +2 more
doaj   +1 more source

Initial Coefficient Estimates for Bi-Univalent Functions Related to Generalized Telephone Numbers

Journal of Mathematics
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 ...
Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, Sunil Dutt Purohit, null Shyamsunder, Daya Lal Suthar   +4 more
doaj   +1 more source

A New Pseudo-Type κ-Fold Symmetric Bi-Univalent Function Class

Axioms, 2023
We introduce and study a new pseudo-type κ-fold symmetric bi-univalent function class that meets certain subordination conditions in this article. For functions in the newly formed class, the initial coefficient bounds are obtained.
Sondekola Rudra Swamy, Luminita-Ioana Cotîrlă   +1 more
doaj   +1 more source

Bi-univalent Function Subclasses Subordinate to Horadam Polynomials

Earthline Journal of Mathematical Sciences, 2022
The object of this article is to explore two subclasses of regular and bi-univalent functions subordinate to Horadam polynomials in the disk $\{\varsigma\in\mathbb{C}:|\varsigma| <1\}$. We originate upper bounds for the initial Taylor-Maclaurin coefficient estimates of functions in these subclasses.
openaire   +1 more source

Horadam Polynomials Estimates for $lambda$-Pseudo-Starlike Bi-Univalent Functions

Iranian Journal of Mathematical Sciences and Informatics, 2022
Summary: In the present investigation, we use the Horadam Polynomials to establish upper bounds for the second and third coefficients of functions belongs to a new subclass of analytic and \(\lambda\)-pseudo-starlike bi-univalent functions defined in the open unit disk \(U\). Also, we discuss Fekete-Szegö problem for functions belongs to this subclass.
Hussein, Hammadi Alaa, Wanas, Abbas Kareem   +1 more
openaire   +2 more sources

Certain subclasses of analytic and bi-univalent functions

Applied Mathematics Letters, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Srivastava, H.M., Mishra, A.K., Gochhayat, P.   +2 more
openaire   +2 more sources

Coefficient Estimates for Generalized Analytic Bi-Univalent Functions [PDF]

Academic Journal of Applied Mathematical Sciences, 2019
For the normalized analytic functions of the form..... .We obtain the initial coefficient estimates for the subclassThe relationship with some coefficient estimates in the literature with that of the subclass above was also considered.
openaire   +1 more source