Results 51 to 60 of about 365,170 (335)

Bounded Doubly Close-to-Convex Functions [PDF]

Abstract and Applied Analysis, 2014
We consider a new classCC(α,β)of bounded doubly close-to-convex functions. Coefficient bounds, distortion theorems, and radius of convexity for the classCC(α,β)are investigated. A corresponding class of doubly close-to-starlike functionsS*S(α,β)is also considered.
openaire   +4 more sources

F-signature of pairs: Continuity, p-fractals and minimal log discrepancies [PDF]

, 2012
This paper contains a number of observations on the {$F$-signature} of triples $(R,\Delta,\ba^t)$ introduced in our previous joint work. We first show that the $F$-signature $s(R,\Delta,\ba^t)$ is continuous as a function of $t$, and for principal ideals
Blickle, Manuel, Schwede, Karl, Tucker, Kevin   +2 more
core   +1 more source

Close‐to‐convexity of normalized Dini functions [PDF]

Mathematische Nachrichten, 2016
In this paper necessary and sufficient conditions are deduced for the close‐to‐convexity of some special combinations of Bessel functions of the first kind and their derivatives by using a result of Shah and Trimble about transcendental entire functions with univalent derivatives and some newly discovered Mittag–Leffler expansions for Bessel functions ...
Baricz, Árpád, Deniz, Erhan, Yağmur, Nihat   +2 more
openaire   +2 more sources

Coefficient Problems for Certain Close-to-Convex Functions

Bulletin of the Iranian Mathematical Society, 2023
In this paper, sharp bounds are established for the second Hankel determinant of logarithmic coefficients for normalised analytic functions satisfying certain differential inequality.
Mundalia, Mridula, Kumar, Shanmugam Sivaprasad   +1 more
openaire   +3 more sources

Optimal inference in a class of regression models [PDF]

, 2016
We consider the problem of constructing confidence intervals (CIs) for a linear functional of a regression function, such as its value at a point, the regression discontinuity parameter, or a regression coefficient in a linear or partly linear regression.
Armstrong, Timothy B., Kolesár, Michal
core   +5 more sources

Distributed Maximum Likelihood Sensor Network Localization [PDF]

, 2013
We propose a class of convex relaxations to solve the sensor network localization problem, based on a maximum likelihood (ML) formulation. This class, as well as the tightness of the relaxations, depends on the noise probability density function (PDF) of
Leus, Geert, Simonetto, Andrea
core   +2 more sources

Analytic Univalent fucntions defined by Gegenbauer polynomials [PDF]

Journal of Mahani Mathematical Research, 2023
The numerical tools that have outshinning many others in the history of Geometric Function Theory (GFT) are the Chebyshev and Gegenbauer polynomials in the present time.
Sunday Olatunji
doaj   +1 more source

Convex combination of analytic functions

Open Mathematics, 2017
Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function F given by f(z) = α z+(1−α)F(z).
Cho Nak Eun, Jain Naveen Kumar, Ravichandran V.   +2 more
doaj   +1 more source

The Fekete-Szegö inequality for close-to-convex functions with respect to a certain starlike function dependent on a real parameter

, 2014
Given α∈[0,1], let gα(z):=z/(1−αz)2, z∈D:={z∈C:|z|0,z∈D. For the class C(gα) of all close-to-convex functions with respect to gα, the Fekete-Szegö problem is studied.MSC:30C45.
B. Kowalczyk, A. Lecko
semanticscholar   +1 more source

Upper Bound of the Third Hankel Determinant for a Subclass of Close-to-Convex Functions Associated with the Lemniscate of Bernoulli

Mathematics, 2019
In this paper, our aim is to define a new subclass of close-to-convex functions in the open unit disk U that are related with the right half of the lemniscate of Bernoulli.
H. Srivastava, Q. Z. Ahmad, M. Darus, N. Khan, B. Khan, Naveed Zaman, H. Shah   +6 more
semanticscholar   +1 more source