Results 31 to 40 of about 361,612 (282)
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 +1 more
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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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Exponentially small asymptotic formulas for the length spectrum in some billiard tables [PDF]
, 2015 Let $q \ge 3$ be a period. There are at least two $(1,q)$-periodic trajectories inside any smooth strictly convex billiard table, and all of them have the same length when the table is an ellipse or a circle.
Martín, Pau +2 more
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On the definition of a close-to-convex function
International Journal of Mathematics and Mathematical Sciences, 1978 The standard definition of a close-to-convex function involves a complex numerical factor eiβ which is on occasion erroneously replaced by 1. While it is known to experts in the field that this replacement cannot be made without essentially changing the ...
A. W. Goodman, E. B. Saff
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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 +2 more
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Fuzzy Differential Subordinations Obtained Using a Hypergeometric Integral Operator
Mathematics, 2021 This paper is related to notions adapted from fuzzy set theory to the field of complex analysis, namely fuzzy differential subordinations. Using the ideas specific to geometric function theory from the field of complex analysis, fuzzy differential ...
Georgia Irina Oros
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Subclasses of close‐to‐convex functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1983 Let 𝒦[C, D], −1 ≤ D < C ≤ 1, denote the class of functions g(z), g(0) = g′(0) − 1 = 0, analytic in the unit disk U = {z : |z| < 1} such that 1 + (zg″(z)/g′(z)) is subordinate to (1 + Cz)/(1 + Dz), z ϵ U. We investigate the subclasses of close‐to‐convex functions f(z), f(0) = f′(0) − 1 = 0, for which there exists g ϵ 𝒦[C, D]
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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
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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
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Some sufficient conditions for univalence
International Journal of Mathematics and Mathematical Sciences, 1991 A new subclass R(α), 0≤α≤1, of the class St(1/2) the class of starlike functions of order 1/2 is introduced and it is shown that R(α) is closed with respect to the Hadamard product of analytic functions.
Sukhjit Singh
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