Results 31 to 40 of about 360,320 (184)

Coefficient Problems for Certain Close-to-Convex Functions

open access: yesBulletin 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
openaire   +3 more sources

Optimal inference in a class of regression models [PDF]

open access: yes, 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

On the definition of a close-to-convex function

open access: yesInternational 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
doaj   +1 more source

Convex combination of analytic functions

open access: yesOpen 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
doaj   +1 more source

Fuzzy Differential Subordinations Obtained Using a Hypergeometric Integral Operator

open access: yesMathematics, 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
doaj   +1 more source

Subclasses of close‐to‐convex functions [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
Let &#x1D4A6;[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 &#x1D4A6;[C, D]
openaire   +2 more sources

Some sufficient conditions for univalence

open access: yesInternational 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
doaj   +1 more source

Model-Reference Reinforcement Learning for Safe Aerial Recovery of Unmanned Aerial Vehicles

open access: yesAerospace, 2023
In this study, we propose an aerial rendezvous method to facilitate the recovery of unmanned aerial vehicles (UAVs) using carrier aircrafts, which is an important capability for the future use of UAVs.
Bocheng Zhao   +4 more
doaj   +1 more source

On Minimal Valid Inequalities for Mixed Integer Conic Programs [PDF]

open access: yes, 2015
We study disjunctive conic sets involving a general regular (closed, convex, full dimensional, and pointed) cone K such as the nonnegative orthant, the Lorentz cone or the positive semidefinite cone.
Kılınç-Karzan, Fatma
core   +2 more sources

Exponentially small asymptotic formulas for the length spectrum in some billiard tables [PDF]

open access: yes, 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
core   +3 more sources

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