Results 41 to 50 of about 3,137 (178)
Geometric Properties of Partial Sums of Univalent Functions [PDF]
, 2012 The $n$th partial sum of an analytic function $f(z)=z+\sum_{k=2}^\infty a_k z^k$ is the polynomial $f_n(z):=z+\sum_{k=2}^n a_k z^k$. A survey of the univalence and other geometric properties of the $n$th partial sum of univalent functions as well as ...
Ravichandran, V.
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Coefficient Inequalities for certain Starlike and Convex functions
Hacettepe Journal of Mathematics and Statistics, 2021 Summary: In this paper, we consider two Ma-Minda-type subclasses of starlike and convex functions associated with the normalized analytic function \(\varphi_{Ne}(z)=1+z-z^3/3\) that maps an open unit disk onto the Nephroid shaped bounded domain in the right-half of the complex plane.
Çetinkaya, Asena, Kumar, Sushil
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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
wiley +1 more source
Spirallikeness of shifted hypergeometric functions
, 2016 In the present paper, we study spirallikenss (including starlikeness) of the shifted hypergeometric function $f(z)=z_2F_1(a,b;c;z)$ with complex parameters $a,b,c,$ where $_2F_1(a,b;c;z)$ stands for the Gaussian hypergeometric function. First, we observe
Sugawa, Toshiyuki, Wang, Li-Mei
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On convex and starlike univalent functions [PDF]
Bulletin of the Australian Mathematical Society, 1983 In this paper we obtain some classical results by using the general integral operators which transform Jakubowski's class K(m, M) into itself and K(μ) × S(m, M) into K(μ). Our results generalize some recent known results due to Causey and Reade, Patil and Thakare.
Pandey, R. K., Bhargava, G. P.
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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
wiley +1 more source
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
wiley +1 more source
Coefficient Inequalities Related With Apple‐Like Functions
Journal of Function Spaces, Volume 2026, Issue 1, 2026.Several subfamilies of Ma and Minda starlike and convex functions have been examined differently through individual generating functions in the literature. However, little or no effort has been devoted to subfamily arising from the product of these generating functions.
Aiman Sana +3 more
wiley +1 more source
Unified Approach of the Logarithmic Coefficient Bounds for the Class of Bazilevic˘ Functions
Journal of Function Spaces, Volume 2026, Issue 1, 2026.The investigation of logarithmic coefficients in the theory of univalent functions began with Milin, who demonstrated their importance for understanding geometric features of these mappings through their connection with the Taylor coefficients hm. If S denotes the family of univalent functions on the unit disk D with the expansion hz=z+∑m=2∞hmzm, the ...
Ebrahim Analouei Adegani +3 more
wiley +1 more source
A generalization of starlike functions of order alpha [PDF]
, 2015 For every $q\in(0,1)$ and $0\le ...
Agrawal, Sarita, Sahoo, Swadesh K.
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