Results 21 to 30 of about 16,584 (269)
First-Order Differential Subordinations and Their Applications
Axioms, 2023 In this paper, we consider some relations related to the representations of starlike and convex functions, and obtain some sufficient conditions for starlike and convex functions by using the theory of differential subordination.
Ali Ebadian +4 more
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On radii of starlikeness and convexity for convolutions of starlike functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper, we obtain the radiuses of univalence, starlikeness and convexity for convolutions of starlike functions.
Shusen Ding, Yi Ling
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On Starlike Functions of Negative Order Defined by q-Fractional Derivative
Fractal and Fractional, 2022 In this paper, two new classes of q-starlike functions in an open unit disc are defined and studied by using the q-fractional derivative. The class Sq*˜(α), α∈(−3,1], q∈(0,1) generalizes the class Sq* of q-starlike functions and the class Tq*˜(α), α∈[−1 ...
S. Riaz +4 more
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Bulletin of the Malaysian Mathematical Sciences Society, 2021 In the present paper, we found sharp bounds of the second Hankel determinant of logarithmic coefficients of starlike and convex functions of order α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...
B. Kowalczyk, A. Lecko
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On coefficient problems for functions starlike with respect to symmetric points
Boletín de la Sociedad Matematica Mexicana, 2022 The main idea of the study on coefficient problems in various classes of analytic functions (univalent or nonunivalent) is to express the coefficients of functions in a given class by the coefficients of corresponding functions with positive real part ...
P. Zaprawa
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On Janowski Starlike Functions [PDF]
Journal of Inequalities and Applications, 2007 For analytic functions in the open unit disc with and , applying the fractional calculus for , a new fractional operator is introduced. Further, a new subclass consisting of associated with Janowski function is defined. The objective of the present paper is to discuss some interesting properties of the class .
Çağlar, Mert +4 more
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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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Starlike and convexity properties of q-Bessel-Struve functions
Demonstratio Mathematica, 2022 This paper introduces three different normalization associated with the second and third q-Bessel-Struve functions. We use Hadamard factorizations to determine the radii of starlike and convexity of these functions.
Oraby Karima M., Mansour Zeinab S. I.
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Subordinations and Norm Estimates for Functions Associated with Ma-Minda Subclasses
Mathematics, 2022 For a function p analytic in the open unit disc and satisfying p(0)=1, we prove certain subordination implications of the first order differential subordination 1+zp′(z)≺1+Mz, which provides sufficient conditions for a function to belong to various ...
Aaisha Farzana Habibullah +2 more
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A study of sharp coefficient bounds for a new subfamily of starlike functions
Journal of Inequalities and Applications, 2021 In this article, by employing the hyperbolic tangent function tanh z , a subfamily S tanh ∗ $\mathcal{S}_{\tanh }^{\ast }$ of starlike functions in the open unit disk D ⊂ C $\mathbb{D}\subset \mathbb{C}$ : D = { z : z ∈ C and | z | < 1 } $$\begin ...
Khalil Ullah +4 more
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