Results 81 to 90 of about 357,419 (186)

On a Subclass of Harmonic Convex Functions of Complex Order

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
We introduce and study a subclass of harmonic convex functions of complex order. Coefficient bounds, extreme points, distortion bounds, convolution conditions, and convex combination are determined for functions in this class.
N. Magesh, S. Mayilvaganan
doaj   +1 more source

An Application of Liouville–Caputo-Type Fractional Derivatives on Certain Subclasses of Bi-Univalent Functions

open access: yesFractal and Fractional
In this study, we present two novel subclasses of bi-univalent functions defined in the open unit disk, utilizing Liouville–Caputo fractional derivatives.
Ibtisam Aldawish   +4 more
doaj   +1 more source

Coefficients of bounded nonvanishing functions

open access: yesIndagationes Mathematicae, 1993
Let \(K\) be the class of functions \(f(z)=\sum^ \infty_{n=0}a_ nz^ n\) which are analytic on the unit disc \(\Delta\) and satisfy \(00\) for all \(z\in\Delta\). Krzyż posed the problem of finding the maxima of the Taylor coefficients of functions in \(K\). A rather comprehensive discussion of this problem was published by \textit{J. A.
openaire   +4 more sources

Quantum Doeblin Coefficients: A Simple Upper Bound on Contraction Coefficients

open access: yes2024 IEEE International Symposium on Information Theory (ISIT)
Contraction coefficients give a quantitative strengthening of the data processing inequality. As such, they have many natural applications whenever closer analysis of information processing is required. However, it is often challenging to calculate these coefficients. As a remedy we discuss a quantum generalization of Doeblin coefficients.
openaire   +2 more sources

Initial Coefficient Bounds for Bi-Close-to-Convex Classes of n-Fold-Symmetric Bi-Univalent Functions

open access: yesAxioms
In this article, the strong class of bi-close-to-convex functions of order α and β in n-fold symmetric bi-univalent functions, which is the subclass of σ, is introduced.
P. Gurusamy   +3 more
doaj   +1 more source

I just ran four million regressions [PDF]

open access: yes
In this paper I try to move away from the Extreme Bounds method of identifying ``robust'' empirical relations in the economic growth literature. Instead of analyzing the extreme bounds of the estimates of the coefficient of a particular variable, I ...
Xavier Sala-i-Martin
core  

Bounds for the coefficients of cyclotomic polynomials.

open access: yesMichigan 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

Uniformly Elliptic PDEs with Bounded, Measurable Coefficients

open access: yesJournal of Fourier Analysis and Applications, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Bounded Subset Selection With Noninteger Coefficients

open access: yes, 2004
Publication in the conference proceedings of EUSIPCO, Viena, Austria ...
Alghoniemy, Masoud, Tewfik, A.H.
openaire   +1 more source

On Sharp Coefficients and Hankel Determinants for a Novel Class of Analytic Functions

open access: yesAxioms
In this article, a new subclass of starlike functions is defined by using the technique of subordination and introducing a novel generalized domain. This domain is obtained by taking the composition of trigonometric sine function and the well known curve
Dong Liu   +5 more
doaj   +1 more source

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