The Sharp Bound of the Fifth Coefficient of Strongly Starlike Functions with Real Coefficients
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DOI: 10.1007/s40840-018-0688-8
Abstract: In this paper, we found the sharp bound of the fifth coefficient of strongly starlike functions of order $$\alpha $$α with real coefficients for all $$\alpha \in (0,1]$$α∈(0,1]. read more here.
Keywords: sharp bound; starlike functions; fifth coefficient; coefficient strongly ... See more keywords
Radius Problems for Starlike Functions Associated with the Sine Function
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DOI: 10.1007/s41980-018-0127-5
Abstract: Let $${\mathcal {S}}^*_s$$Ss∗ be the class of normalized analytic functions f defined on the unit disk such that the quantity $$zf'(z)/f(z)$$zf′(z)/f(z) lies in an eight-shaped region in the right-half plane, which is the image of… read more here.
Keywords: starlike functions; class; problems starlike; functions associated ... See more keywords
Majorization Results for Subclasses of Starlike Functions Based on the Sine and Cosine Functions
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DOI: 10.1007/s41980-019-00262-y
Abstract: The object of this paper was to study two majorization results for the subclasses $$S^*_{s}$$ S s ∗ and $$S^*_{c}$$ S c ∗ of starlike functions, which are, respectively, associated with the sine and cosine… read more here.
Keywords: sine cosine; cosine functions; majorization results; starlike functions ... See more keywords
Estimation of Hankel inequalities of symmetric starlike functions in crescent-shaped domains and their application in image processing
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DOI: 10.1038/s41598-025-12935-2
Abstract: This study explores some geometric properties of the class of symmetric starlike functions associated with a Crescent-shaped domain denoted by \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {SS}^{*}_{\mathcalligra{cre}}$$\end{document}. Initially, we establish key… read more here.
Keywords: image; image processing; hankel; crescent shaped ... See more keywords
Starlike functions associated with a lune
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DOI: 10.1142/s1793557117500644
Abstract: Several subclasses of starlike functions are associated with regions in the right half plane of the complex plane, like half-plane, disks, sectors, parabolas and lemniscate of Bernoulli. For a normalized analytic function f defined on… read more here.
Keywords: starlike functions; associated lune; functions associated; plane ... See more keywords
Coefficient functionals and radius problems of certain starlike functions
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DOI: 10.1142/s1793557122500899
Abstract: Ma–Minda class (of starlike functions) consists of normalized analytic functions [Formula: see text] defined on the unit disk for which the image of the function [Formula: see text] is contained in some starlike region lying… read more here.
Keywords: certain starlike; starlike functions; coefficient functionals; problems certain ... See more keywords
Hankel determinants for q-starlike functions connected with q-sine function
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DOI: 10.1515/dema-2024-0044
Abstract: Abstract This article comprises the study of a new class of starlike functions, which is defined by q q -fractional operator and subordination to the q q -analog of sine function. This q q -sine… read more here.
Keywords: hankel determinants; sine function; function; starlike functions ... See more keywords
Coefficient functionals for Sakaguchi-type-Starlike functions subordinated to the three-leaf function
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DOI: 10.1515/dema-2025-0123
Abstract: Abstract A challenging part of studying geometric function theory is figuring out the sharp boundaries for coefficient-related problems that crop up in the Taylor-Maclaurin series of univalent functions. The objective of this article is to… read more here.
Keywords: starlike functions; function; type starlike; coefficient ... See more keywords
New subfamily of meromorphic multivalent starlike functions in circular domain involving q-differential operator
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DOI: 10.1515/ms-2017-0166
Abstract: Abstract The main object of the present paper is to investigate a number of useful properties such as sufficiency criteria, distortion bounds, coefficient estimates, radius of starlikness and radius of convexity for a new subclass… read more here.
Keywords: multivalent starlike; meromorphic multivalent; differential operator; starlike functions ... See more keywords
Some coefficient properties relating to a certain class of starlike functions
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DOI: 10.18514/mmn.2017.1729
Abstract: This paper considers the problem of determining coefficients in a class of normalized starlike functions f analytic in the open unit disk j ́j< 1 satisfying the inequality that ˇ̌̌̌ ˇ ́f . ́/ f… read more here.
Keywords: starlike functions; class; relating certain; properties relating ... See more keywords
On coefficients of some p-valent starlike functions
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DOI: 10.2298/fil1908277n
Abstract: We consider the class Ap of functions f analytic in the unit disk |z| < 1 in the complex plane, of the form f(z) = zp + ... such that Rezf(p)(z)/f (p-1)(z) > 0 in… read more here.
Keywords: starlike functions; coefficients valent; unit; valent starlike ... See more keywords