Results 71 to 80 of about 9,723 (251)
The Booth Lemniscate Starlikeness Radius for Janowski Starlike Functions
Bulletin of the Malaysian Mathematical Sciences Society, 2022 The function $G_\alpha(z)=1+ z/(1-\alpha z^2)$, \, $0\leq \alpha <1$, maps the open unit disc $\mathbb{D}$ onto the interior of a domain known as the Booth lemniscate. Associated with this function $G_\alpha$ is the recently introduced class $\mathcal{BS}(\alpha)$ consisting of normalized analytic functions $f$ on $\mathbb{D}$ satisfying the ...
Somya Malik +2 more
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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 +2 more
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Some General Classes of q-Starlike Functions Associated with the Janowski Functions
Symmetry, 2019 By making use of the concept of basic (or q-) calculus, various families of q-extensions of starlike functions of order α in the open unit disk U were introduced and studied from many different viewpoints and perspectives.
H. Srivastava +4 more
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On a Subclass of Starlike Functions
Rocky Mountain Journal of Mathematics, 1994 Let \(A\) denote the class of functions \(f(z)= z+ \sum^ \infty_{k= 2} a_ k z^ k\) analytic in the unit disk \(D\), \(S\) and \(S^*\) denote the usual subclasses of univalent and starlike functions. For \(\beta< 1\) let \[ R(\beta)= \{ f\in A: \text{Re}(f'(z)+ zf''(z))> \beta,\;z\in D\}\text{ and } \beta_{S^*}= \inf\{\beta: R(\beta)\subset S^*\}. \] In
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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 +4 more
wiley +1 more source
A Subclass of Multivalent Janowski Type q-Starlike Functions and Its Consequences
Symmetry, 2021 In this article, by utilizing the theory of quantum (or q-) calculus, we define a new subclass of analytic and multivalent (or p-valent) functions class Ap, where class Ap is invariant (or symmetric) under rotations.
Qiuxia Hu +6 more
semanticscholar +1 more source
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 +3 more
wiley +1 more source
On a Subfamily of Analytic Functions Associated With q‐Sălăgean Operator
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we study a new subfamily of analytic functions associated with q‐Janowski function using q‐Sălăgean operator. We explore certain properties of the functions belonging to this new class which include sufficient condition, inclusion results, and coefficient estimate bounds for Fekete–Szegö functional. Several consequences of main results
Ihtesham Gul +6 more
wiley +1 more source
Approximation and geometric properties of some complex Bernstein-Stancu polynomials in compact disks
Journal of Numerical Analysis and Approximation Theory, 2007 In this paper, the order of simultaneous approximation, convergence results of the iterates and shape preserving properties, for complex Bernstein-Stancu polynomials (depending on one parameter) attached to analytic functions on compact disks are ...
Sorin G. Gal
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Laplacian spectral determination of path-friendship graphs
AKCE International Journal of Graphs and Combinatorics, 2021 A graph G is said to be determined by the spectrum of its Laplacian matrix (DLS) if every graph with the same spectrum is isomorphic to G. In some recent papers it is proved that the friendship graphs and starlike trees are DLS. If a friendship graph and
Mohammad Reza Oboudi +3 more
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