Results 31 to 40 of about 664 (120)
Sharp Coefficient Bounds for a Subclass of Bounded Turning Functions with a Cardioid Domain
Axioms, 2023 In the present paper, we give a new simple proof on the sharp bounds of coefficient functionals related to the Carathéodory functions and make a correction on the extremal functions.
Lei Shi +3 more
doaj +1 more source
Radius Constants for Functions with the Prescribed Coefficient Bounds
Abstract and Applied Analysis, 2014 For an analytic univalent function f(z)=z+∑n=2∞anzn in the unit disk, it is well-known that an≤n for n≥2. But the inequality an≤n does not imply the univalence of f.
Om P. Ahuja +2 more
doaj +1 more source
Coefficient Bounds for a Family of s-Fold Symmetric Bi-Univalent Functions
Axioms, 2023 We present a new family of s-fold symmetrical bi-univalent functions in the open unit disc in this work. We provide estimates for the first two Taylor–Maclaurin series coefficients for these functions.
Isra Al-shbeil +5 more
doaj +1 more source
Sakarya Üniversitesi Fen Bilimleri Enstitüsü DergisiIn this paper, we introduce a new subclass of harmonic functions that significantly improves our understanding of these functions in geometric function theory. We provide a comprehensive analysis of this subclass by deriving several important properties,
Serkan Çakmak
doaj +1 more source
Initial Coefficient Bounds for Bi-Univalent Functions Related to Gregory Coefficients
Mathematics, 2023 In this article we introduce three new subclasses of the class of bi-univalent functions Σ, namely HGΣ, GMΣ(μ) and GΣ(λ), by using the subordinations with the functions whose coefficients are Gregory numbers. First, we evidence that these classes are not
Gangadharan Murugusundaramoorthy +2 more
doaj +1 more source
Bounds for the coefficients of cyclotomic polynomials.
Michigan Mathematical Journal, 1975 Let \(\displaystyle\Phi(z) = \prod_{\substack{{r=1} \\ (r,n)=1}}^n (z - e(r/n))\) \((e(\alpha) = e^{2\pi i\alpha})\) denote the \(n\)-th cyclotomic polynomial and put \(\displaystyle\Phi_n(z)= \sum_{m=0}^{\varphi(n)} a(m,n)z^m\). \textit{P. T. Bateman} [Bull. Am. Math. Soc. 55, 1180--1181 (1949; Zbl 0035.31102)] showed that \[ \vert a(m,n)\vert < \exp(\
openaire +2 more sources
ON LINEAR COMBINATIONS OF UNITS WITH BOUNDED COEFFICIENTS [PDF]
Mathematika, 2011 Let \(O\) be an order in an algebraic number field, and assume that \(O\) is generated additively by its units. The authors introduce the unit sum height \(\omega(\alpha)\) of \(\alpha\in O\), defined as the smallest integer \(a_1\) such that \(\alpha\) can be written in the form \(\alpha=a_1u_1+\cdots+a_mu_m\) with distinct units \(u_1,\dots,u_m\) and
Thuswaldner, Jörg, Ziegler, Volker
openaire +1 more source
On a Harmonic Univalent Subclass of Functions Involving a Generalized Linear Operator
Axioms, 2020 In this paper, a subclass of complex-valued harmonic univalent functions defined by a generalized linear operator is introduced. Some interesting results such as coefficient bounds, compactness, and other properties of this class are obtained.
Abdeljabbar Talal Yousef +1 more
doaj +1 more source
Lower bounds on the coefficients of Ehrhart polynomials [PDF]
European Journal of Combinatorics, 2009 We present lower bounds for the coefficients of Ehrhart polynomials of convex lattice polytopes in terms of their volume. Concerning the coefficients of the Ehrhart series of a lattice polytope we show that Hibi's lower bound is not true for lattice polytopes without interior lattice points.
Martin Henk, Makoto Tagami
openaire +2 more sources
On the normal structure coefficient and the bounded sequence coefficient [PDF]
Proceedings of the American Mathematical Society, 1983 The two notions of normal structure coefficient and bounded sequence coefficient introduced by Bynum are shown to be the same. A lower bound for the normal structure coefficient in
openaire +2 more sources