Results 61 to 70 of about 3,137 (178)

Hankel and Toeplitz Determinants for q‐Starlike Functions Involving a q‐Analog Integral Operator and q‐Exponential Function

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q‐starlike functions defined by a q‐analog integral operator, which is a more general form of the q‐Srivastava‐Attiya operator, and the q‐exponential function eq(z).
Sarem H. Hadi, Maslina Darus, Rabha W. Ibrahim, Samuel Nicolay   +3 more
wiley   +1 more source

Subordination Properties of Bi‐Univalent Functions Involving Horadam Polynomials

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this research, we investigate a family of q‐extensions defined on an open unit disk, which is based on bi‐univalent functions associated with differential subordination. Next, we define certain classes of bi‐univalent functions using generalized Horadam polynomials.
Ebrahim Amini, Shrideh Al-Omari, Abdul Rauf Khan   +2 more
wiley   +1 more source

On the Determinants for a Class of Analytic Function Using Sigmoid Beta‐Catas Operator

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
Geometric function theory (GFT) is the study of geometric properties of analytic functions. The cornerstone of GFT is the theory of univalent functions. Several related topics in GFT with various applications have been developed over the years, one of which includes the study of special functions.
Olubunmi A. Fadipe-Joseph, Olanike R. Oluwaseyi, E. O. Opaleye, Uzoamaka A. Ezeafulukwe, John R. Akeroyd   +4 more
wiley   +1 more source

On Uniformly Starlike and Convex Univalent Functions

Journal of Fractional Calculus and Applications
Summary: In (1908) Jackson generalized the ordinary derivative by introducing the \(q\)-difference derivative, which became an essential tool in the study of \(q\)-calculus. Later, (2013) Brahim and Sidomon, introduced a further generalization known as the symmetric \(q\)-derivative operator, which has significant applications in various mathematical ...
Yehia, Abdelrahmn Mohamed, Madian, Samar M., Tharwat, Mohamed M.   +2 more
openaire   +2 more sources

Close-to-convexity, starlikeness, and convexity of certain analytic functions

Applied Mathematics Letters, 2002
Let \(\mathcal A\) denote the class of functions \(f\) of the form \(f(z)= z + \sum_{n=2}^{\infty} a_{n}z^{n}\), analytic and univalent in \({\mathcal U} =\{ z: | z|
Shigeyoshi Owa, Mamoru Nunokawa, Hitoshi Saitoh, Hari M. Srivastava   +3 more
openaire   +1 more source

On starlikeness and close‐to‐convexity of certain analyticfunctions [PDF]

International Journal of Mathematics and Mathematical Sciences, 2004
Our purpose is to derive some sufficient conditions for starlikeness and close‐to‐convexity of order α of certain analytic functions in the open unit disk.
Oh Sang Kwon, Nak Eun Cho
openaire   +2 more sources

Hadamard Product on Subclasses of Meromorphic Functions Involving q‐Difference Operator

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
By making use of a q‐derivative operator, certain families of meromorphic q‐starlike functions and meromorphic q‐convex functions are introduced and studied. In this paper, we define a q‐analogous value of differential operators for meromorphic functions with the help of basic concepts of quantum (q‐)calculus operator theory and introduce new ...
W. Y. Kota, R. M. El-Ashwah, Nicoleta Breaz, Shrideh K. Q. Al-Omari   +3 more
wiley   +1 more source

Sharp Bounds on Hankel Determinant of q-Starlike and q-Convex Functions Subordinate to Secant Hyperbolic Functions

Fractal and Fractional
In the present paper, using the q-difference operator, we introduce two classes of q-starlike functions and q-convex functions subordinate to secant hyperbolic functions. As functions in these classes have unique characteristic of missing coefficients on
Lifen Zhang, Zhigang Wang, Lei Shi
doaj   +1 more source

Study of simply connected domain and its geometric properties

Journal of Taibah University for Science, 2019
By using composition of a differential operator and a subclass of analytic functions, we introduce a new application of a differential operator for starlike and convex functions.
M. I. Faisal
doaj   +1 more source

Bi‐Starlike Function of Complex Order Involving Rabotnov Function Associated With Telephone Numbers

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Telephone numbers defined through the recurrence relation Qn=Qn−1+n−1Qn−2 for n ≥ 2, with initial values of Q0=Q1=1. The study of such numbers has led to the establishment of various classes of analytic functions associated with them. In this paper, we establish two new subclasses of bi‐convex and bi‐starlike functions of complex order in the open unit
Sa’ud Al-Sa’di, Kaliappan Vijaya, Gangadharan Murugusundaramoorthy, Ming-Sheng Liu   +3 more
wiley   +1 more source