Results 21 to 30 of about 9,723 (251)
Bulletin of the Australian Mathematical Society, 1980 Let S denote the class of functions f analytic and univalent in the open disc {z: |z| < 1} and normalized by f(0) = 0 = f′(0) − 1, and S*(α) denote the set of starlike functions of order α (0 ≤ α ≤ 1) in S. In this paper, the results of William M. Causey and William L. White [J. Math. Anal. Appl.
V.P. Gupta, Iqbal Ahmad
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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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Starlikeness of a certain integral
Applied Mathematics Letters, 1991 Let \(A\) denote the class of functions of the form \(f(z)=z+\sum_{n=2}^ \infty a_ nz^ n\) which are analytic in the unit disk \(U\). Let \(R(\alpha)\) be the subclass of \(A\) consisting of all functions satisfying \(\text{Re}\{f'(z)\}>\alpha\) (\(z\in U\)) for some \(\alpha ...
Shigeyoshi Owa
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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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Starlike functions associated with an Epicycloid
Hacettepe Journal of Mathematics and Statistics, 2022 For a natural number $n\geq 2$, the function $\phi_{n\mathcal{L}}(z)=1+nz/(n+1)+z^n/(n+1)$ maps the open unit disk onto a domain bounded by an epicycloid with $(n-1)$ cusps.
S. Gandhi +3 more
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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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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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Axioms, 2022 In the current work, by using the familiar q-calculus, first, we study certain generalized conic-type regions. We then introduce and study a subclass of the multivalent q-starlike functions that map the open unit disk into the generalized conic domain ...
M. S. Rehman +6 more
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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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