The Second Hankel Determinant Problem for a Class of Bi-Close-to-Convex Functions
Mathematics, 2019 The purpose of the present work is to determine a bound for the functional H 2 ( 2 ) = a 2 a 4 − a 3 2 for functions belonging to the class C Σ of bi-close-to-convex functions.
Nak Eun Cho +3 more
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Properties of analytic solutions of three similar differential equations of the second order
Karpatsʹkì Matematičnì Publìkacìï, 2021 An analytic univalent in ${\mathbb D}=\{z:\;|z|
M.M. Sheremeta, Yu.S. Trukhan
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Data-Driven Chance Constrained Optimization under Wasserstein Ambiguity Sets [PDF]
, 2018 We present a data-driven approach for distributionally robust chance constrained optimization problems (DRCCPs). We consider the case where the decision maker has access to a finite number of samples or realizations of the uncertainty.
Cherukuri, Ashish +2 more
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Injectivity of sections of convex harmonic mappings and convolution theorems [PDF]
, 2015 In the article the authors consider the class ${\mathcal H}_0$ of sense-preserving harmonic functions $f=h+\overline{g}$ defined in the unit disk $|z|
A. W. Goodman +36 more
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Convexity, Starlikeness, and Prestarlikeness of Wright Functions
Mathematics, 2022 This article deals with the normalized Wright function and its geometric properties. In particular, we find sufficiency criteria for close-to-convexity with respect to starlike function ς1−ς2.
Dong Liu +4 more
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Harmonic mappings for which co-analytic part is a close-to-convex function of order b
, 2015 In the present paper we investigate a class of harmonic mappings for which the second dilatation is a close-to-convex function of complex order b, b∈C/{0}$b\in\mathbb{C} / \{ 0 \}$ (Lashin in Indian J. Pure Appl. Math. 34(7):1101-1108, 2003).
Y. Polatoglu +2 more
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On Gromov-Hausdorff stability in a boundary rigidity problem [PDF]
, 2011 Let $M$ be a compact Riemannian manifold with boundary. We show that $M$ is Gromov-Hausdorff close to a convex Euclidean region $D$ of the same dimension if the boundary distance function of $M$ is $C^1$-close to that of $D$. More generally, we prove the
Alexander +9 more
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Further Geometric Properties of the Barnes–Mittag-Leffler Function
Axioms, 2023 In this paper, we find sufficient conditions to be imposed on the parameters of a class of functions related to the Barnes–Mittag-Leffler function that allow us to conclude that it possesses certain geometric properties (such as starlikeness, uniformly ...
Abdulaziz Alenazi, Khaled Mehrez
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Optimal and Suboptimal Finger Selection Algorithms for MMSE Rake Receivers in Impulse Radio Ultra-Wideband Systems [PDF]
, 2005 Convex relaxations of the optimal finger selection algorithm are proposed for a minimum mean square error (MMSE) Rake receiver in an impulse radio ultra-wideband system.
Chiang, Mung +3 more
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Length problems for Bazilevič functions
Demonstratio Mathematica, 2019 Let C(r) denote the curve which is image of the circle |z| = r < 1 under the mapping f . Let L(r) be the length of C(r) and A(r) the area enclosed by the curve C(r).
Nunokawa Mamoru +2 more
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