Results 31 to 40 of about 10,555,595 (364)

New Criteria for Univalent‎, ‎Starlike‎, ‎Convex‎, ‎and Close-to-Convex Functions on the Unit Disk [PDF]

Mathematics Interdisciplinary Research, 2020
In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D.
Mohammad Reza Yasamian, Ali Ebadian, Mohammad Reza Foroutan   +2 more
doaj   +1 more source

Applications of the q-Srivastava-Attiya Operator Involving a Certain Family of Bi-Univalent Functions Associated with the Horadam Polynomials

Symmetry, 2021
In this article, by making use of the q-Srivastava-Attiya operator, we introduce and investigate a new family SWΣ(δ,γ,λ,s,t,q,r) of normalized holomorphic and bi-univalent functions in the open unit disk U, which are associated with the Bazilevič ...
H. Srivastava, A. Wanas, R. Srivastava
semanticscholar   +1 more source

Coefficient Estimates and the Fekete–Szegö Problem for New Classes of m-Fold Symmetric Bi-Univalent Functions

Mathematics, 2022
The results presented in this paper deal with the classical but still prevalent problem of introducing new classes of m-fold symmetric bi-univalent functions and studying properties related to coefficient estimates.
G. Oros, Luminiţa-Ioana Cotîrlǎ
semanticscholar   +1 more source

Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials [PDF]

, 2009
We obtain the Kirillov vector fields on the set of functions $f$ univalent inside the unit disk, in terms of the Faber polynomials of $1/f(1/z)$.
Airault, Helene
core   +4 more sources

Applications of a certain $q$-integral operator to the subclasses of analytic and bi-univalent functions

AIMS Mathematics, 2021
In the present investigation, our aim is to define a generalized subclass of analytic and bi-univalent functions associated with a certain $q$-integral operator in the open unit disk $\mathbb{U}$.
B. Khan, H. Srivastava, M. Tahir, M. Darus, Q. Z. Ahmad, N. Khan   +5 more
semanticscholar   +1 more source

Applications of $q$-Derivative Operator to the Subclass of Bi-Univalent Functions Involving $q$

Journal of mathematics, 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.
B. Khan, Zhi-Guo Liu, T. G. Shaba, S. Araci, N. Khan, Muhammad Ghaffar Khan   +5 more
semanticscholar   +1 more source

Coefficient Estimates for Certain Classes of Bi-Univalent Functions

International Journal of Mathematics and Mathematical Sciences, 2013
A function analytic in the open unit disk is said to be bi-univalent in if both the function and its inverse map are univalent there. The bi-univalency condition imposed on the functions analytic in makes the behavior of their coefficients ...
Jay M. Jahangiri, Samaneh G. Hamidi
doaj   +1 more source

Estimates for Coefficients of Bi-Univalent Functions Associated with a Fractional q-Difference Operator

Symmetry, 2022
In the present paper, we discuss a class of bi-univalent analytic functions by applying a principle of differential subordinations and convolutions.
E. Amini, Shrideh K. Al-Omari, K. Nonlaopon, D. Baleanu   +3 more
semanticscholar   +1 more source

An Avant-Garde Construction for Subclasses of Analytic Bi-Univalent Functions

Axioms, 2022
The zero-truncated Poisson distribution is an important and appropriate model for many real-world applications. Here, we exploit the zero-truncated Poisson distribution probabilities to construct a new subclass of analytic bi-univalent functions ...
F. Yousef, A. Amourah, B. Frasin, T. Bulboacă   +3 more
semanticscholar   +1 more source

Univalent functions having univalent derivatives [PDF]

Rocky Mountain Journal of Mathematics, 1986
Let T denote the family of functions \(f(z)=z-\sum^{\infty}_{n=2}a_ nz^ n\), \(a_ n\geq 0\), which are analytic and univalent in the unit disk \(\Delta =\{| z|
openaire   +2 more sources