Results 31 to 40 of about 459,426 (297)
MethodsX, 2023 Analytic functions are very helpful in many mathematical and scientific uses, such as complex integration, potential theory, and fluid dynamics, due to their geometric features.
Ibtisam Aldawish, Rabha W. Ibrahim
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Mathematics, 2023 Subclasses of analytic and bi-univalent functions have been extensively improved and utilized for estimating the Taylor–Maclaurin coefficients and the Fekete–Szegö functional.
Abdulmtalb Hussen, Abdelbaset Zeyani
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EPTAS and Subexponential Algorithm for Maximum Clique on Disk and Unit Ball Graphs [PDF]
Journal of the ACM, 2021 A (unit) disk graph is the intersection graph of closed (unit) disks in the plane. Almost three decades ago, an elegant polynomial-time algorithm was found for MAXIMUM CLIQUE on unit disk graphs [Clark, Colbourn, Johnson; Discrete Mathematics ’90]. Since
Marthe Bonamy +8 more
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New Class of Close-to-Convex Harmonic Functions Defined by a Fourth-Order Differential Inequality
Journal of Mathematics, 2022 In the recent past, various new subclasses of normalized harmonic functions have been defined in open unit disk U which satisfy second-order and third-order differential inequalities.
Mohammad Faisal Khan +4 more
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QPTAS and Subexponential Algorithm for Maximum Clique on Disk Graphs [PDF]
, 2018 A (unit) disk graph is the intersection graph of closed (unit) disks in the plane. Almost three decades ago, an elegant polynomial-time algorithm was found for Maximum Clique on unit disk graphs [Clark, Colbourn, Johnson; Discrete Mathematics '90]. Since
Bonnet, E. +4 more
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Estimate for Initial MacLaurin Coefficients of Certain Subclasses of Bi-univalent Functions [PDF]
, 2015 In this paper, estimates for second and third MacLaurin coefficients of certain subclasses of bi-univalent functions in the open unit disk defined by convolution are determined, and certain special cases are also indicated.
Alkahtani, Badr +2 more
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On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk [PDF]
Mathematics of Computation, 2019 We study $\{0, 1\}$ and $\{-1, 1\}$ polynomials $f(z)$, called Newman and Littlewood polynomials, that have a prescribed number $N(f)$ of zeros in the open unit disk $\mathcal{D} = \{z \in \mathbb{C}: |z| 2$ on the unit circle $\partial \mathcal{D ...
K. Hare, Jonas Jankauskas
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On a version of Trudinger-Moser inequality with M\"obius shift invariance [PDF]
, 2009 The paper raises a question about the optimal critical nonlinearity for the Sobolev space in two dimensions, connected to loss of compactness, and discusses the pertinent concentration compactness framework. We study properties of the improved version of
Adimurthi, Tintarev, K.
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Construction of Planar Harmonic Functions
International Journal of Mathematics and Mathematical Sciences, 2007 Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk can be written in the form f=h+g¯, where h and g are analytic in the open unit disk.
Jay M. Jahangiri +2 more
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Finding a Maximum Clique in a Disk Graph [PDF]
International Symposium on Computational Geometry, 2023 A disk graph is an intersection graph of disks in the Euclidean plane, where the disks correspond to the vertices of the graph and a pair of vertices are adjacent if and only if their corresponding disks intersect.
Jared Espenant +2 more
semanticscholar +1 more source