Results 51 to 60 of about 3,329 (222)
On Subclasses of Spiral‐Like Functions Defined by the q‐Derivative Operator
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In 1990, Ismail et al. introduced a generalized class of starlike functions using the q‐derivative operator. Similarly, many authors have studied various subclasses of analytic functions involving the q‐derivative operator from different perspectives. This paper is aimed at presenting new subclasses of analytic and spiral‐like functions related to the ...
Fatma Z. El-Emam +2 more
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On the properties of a class of polyharmonic functions
Mathematical Modelling and Analysis, 2013 The aim of this paper is to investigate some motivated geometrical aspects and properties of polyharmonic functions (PH) including starlikeness, convexity and univalence. A polyharmonicity preserving complex operator is also introduced.
Suheil Khuri
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Starlikeness of a product of starlike functions with non-vanishing polynomials
Analysis and Mathematical Physics, 2023 For a function $f$ starlike of order $\alpha$, $0\leqslant \alpha <1$, a non-constant polynomial $Q$ of degree $n$ which is non-vanishing in the unit disc $\mathbb{D}$ and $\beta>0$, we consider the function $F:\mathbb{D}\to\mathbb{C}$ defined by $F(z)=f(z) (Q(z))^{\beta /n}$ and find the largest value of $r\in (0,1]$ such that $r^{-1} F(rz ...
Somya Malik, V. Ravichandran
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we study several important coefficient problems for the class Sp∗ of Sakaguchi‐type starlike functions subordinated to a petal‐shaped domain. We obtain a collection of sharp bounds that extend and refine known results in geometric function theory.
Adel A. Attiya +5 more
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Starlike meromorphic functions
, 1972 In this paper we study meromorphic univalent functions which map the unit disk onto the exterior of a domain which is starlike with respect to some finite point different from the origin.
James Miller
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Properties of a Class of Analytic Functions Influenced by Multiplicative Calculus
Fractal and FractionalMotivated by the notion of multiplicative calculus, more precisely multiplicative derivatives, we used the concept of subordination to create a new class of starlike functions.
Kadhavoor R. Karthikeyan +1 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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Starlike Functions With Respect to a Boundary Point Connected With Bounded Radius Rotation
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In the current article, we introduce a new subclass of univalent function Gμ with bounded radius rotation. For this new class, the authors establish many interesting relations between these classes and existing classes. Furthermore, authors try to find coefficient estimations for this new subclass.
Alhanouf Alburaikan +5 more
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Majorization for certain classes of meromorphic functions defined by integral operator
, 2016 Here we investigate a majorization problem involving starlike meromorphic functions of complex order belonging to a certain subclass of meromorphic univalent functions defined by an integral operator introduced recently by ...
Goyal, S. P., Goswami, Pranay
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Tarantula graphs are determined by their Laplacian spectrum
Electronic Journal of Graph Theory and Applications, 2021 A graph G is said to be determined by its Laplacian spectrum (DLS) if every graph with the same Laplacian spectrum is isomorphic to G. A graph which is a collection of hexagons (lengths of these cycles can be different) all sharing precisely one vertex ...
Reza Sharafdini, Ali Zeydi Abdian
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