Results 21 to 30 of about 686,674 (292)
AIMS Mathematics, 2021 In the present investigation, our aim is to define a generalized subclass of analytic and bi-univalent functions associated with a certain $q$-integral operator in the open unit disk $\mathbb{U}$.
Bilal Khan +5 more
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Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator
Fractal and Fractional, 2023 This article defines a new operator called the q-Babalola convolution operator by using quantum calculus and the convolution of normalized analytic functions in the open unit disk.
Isra Al-shbeil +2 more
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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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Spectral theory of the invariant Laplacian on the disk and the sphere – a complex analysis approach [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2023 The central theme of this paper is the holomorphic spectral theory of the canonical Laplace operator of the complement of the “complexified unit circle” $\{(z,w) \in \widehat {{\mathbb C}}^2 \colon z \cdot w = 1\}$ .
Michael Heins +2 more
semanticscholar +1 more source
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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Fekete Szego coefficient for the Janowski \alpha-spirallike functions in open unit disk [PDF]
International Journal of Mathematical Analysis, 2014 The aim of this paper is to gives sharp bound of the Fekete Szego coefficient functional for the Janowski α-Spirallike functions associated with the k th root transformation.
Annai Teresa +3 more
openaire +1 more source
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
semanticscholar +1 more source
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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Regular classes involving a generalized shift plus fractional Hornich integral operator
Boletim da Sociedade Paranaense de Matemática, 2018 The Hornich space is the set of all locally univalent and analytic functions Á on the open unit disk such that argÁ0 is bounded. Here, we introduce a generalized integral operator in the open unit disk.
Rabha W Ibrahim
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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.
core +2 more sources