Results 31 to 40 of about 35,982 (269)
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
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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
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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
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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
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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
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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(\
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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
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Pre‐dilution online hemodiafiltration (Pre‐HDF) is predominantly used in Japan, whereas post‐dilution online HDF (Post‐HDF) is more common in Europe. An asymmetric cellulose triacetate (ATA) membrane may improve biocompatibility.
Kenji Sakurai +4 more
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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
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Single-factor coefficient bounds
Journal of Symbolic Computation, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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