Results 21 to 30 of about 86,055 (204)
Holomorphic vector fields and quadratic differentials on planar triangular meshes [PDF]
, 2015 Given a triangulated region in the complex plane, a discrete vector field $Y$ assigns a vector $Y_i\in \mathbb{C}$ to every vertex. We call such a vector field holomorphic if it defines an infinitesimal deformation of the triangulation that preserves ...
Lam, Wai Yeung, Pinkall, Ulrich
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Mathematics, 2023 The main goal of this investigation is to obtain sharp upper bounds for Fekete-Szegö functional and the third Hankel determinant for a certain subclass SL∗u,v,α of holomorphic functions defined by the Carlson-Shaffer operator in the unit disk.
Halit Orhan +2 more
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Holomorphic Functions and polynomial ideals on Banach spaces [PDF]
, 2010 Given $\u$ a multiplicative sequence of polynomial ideals, we consider the associated algebra of holomorphic functions of bounded type, $H_{b\u}(E)$. We prove that, under very natural conditions verified by many usual classes of polynomials, the spectrum
Carando, Daniel +2 more
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Mathematics, 2022 In the present paper, making use of Gegenbauer polynomials, we initiate and explore a new family JΣ(λ,γ,s,t,q;h) of holomorphic and bi-univalent functions which were defined in the unit disk D associated with the q-Srivastava–Attiya operator.
Abbas Kareem Wanas +1 more
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Weighted Composition Operators from H∞ to the Bloch Space on the Polydisc
Abstract and Applied Analysis, 2007 Let Dn be the unit polydisc of ℂn, ϕ(z)=(ϕ1(z),…,ϕn(z)) be a holomorphic self-map of Dn, and ψ(z) a holomorphic function on Dn. Let H(Dn) denote the space of all holomorphic functions with domain Dn, H∞(Dn) the space of all bounded holomorphic functions ...
Songxiao Li, Stevo Stevic
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Noncritical holomorphic functions on Stein spaces
, 2015 We prove that every reduced Stein space admits a holomorphic function without critical points. Furthermore, any closed discrete subset of such a space is the critical locus of a holomorphic function.
Forstneric, Franc
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Functional equation of a special Dirichlet series
International Journal of Mathematics and Mathematical Sciences, 1987 In this paper we study the special Dirichlet series L(s)=23∑n=1∞sin(2πn3)n−s, s∈C This series converges uniformly in the half-plane Re(s)>1 and thus represents a holomorphic function there.
Ibrahim A. Abou-Tair
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Holomorphic extension of the de Gennes function [PDF]
, 2016 This note is devoted to prove that the de Gennes function has a holomorphic extension on a strip containing the real ...
Bonnaillie-Noël, Virginie +2 more
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SciPost Physics, 2020 We derive a holomorphic anomaly equation for the Vafa-Witten partition function for twisted four-dimensional $\mathcal{N} =4$ super Yang-Mills theory on $\mathbb{CP}^{2}$ for the gauge group $SO(3)$ from the path integral of the effective theory on ...
Atish Dabholkar, Pavel Putrov, Edward Witten
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Journal of Functional Analysis, 1980 AbstractLet O(U) denote the finely harmonic functions on U a finely open subset of C such that ∂g∂z̄ = 0 almost surely on U. Define Af(K) to be those g in C(K) such that if K′ is the fine interior of K then g ¦K′ is in O(K). We prove that Af(K) is invariant under the Vitushkin localization operators, i.e., it is T-invariant.
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