Results 11 to 20 of about 10,326,050 (296)
Noncritical holomorphic functions on Stein spaces [PDF]
, 2013 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.
F. Forstnerič
semanticscholar +3 more sources
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 ...
Wai Yeung Lam, U. Pinkall
semanticscholar +5 more sources
On a class of holomorphic functions [PDF]
Proceedings of the American Mathematical Society, 1965 Nicolas Artémiadis
openalex +3 more sources
Holomorphic Cliffordian functions [PDF]
Advances in Applied Clifford Algebras, 1998 The aim of this paper is to put the fundations of a new theory of functions, called holomorphic Cliffordian, which should play an essential role in the generalization of holomorphic functions to higher dimensions. Let R\_{0,2m+1} be the Clifford algebra of R^{2m+1} with a quadratic form of negative signature, D = \sum\_{j=0}^{2m+1} e\_j {\partial\over \
Laville, Guy, Ramadanoff, Ivan
openaire +4 more sources
Leafwise holomorphic functions [PDF]
Proceedings of the American Mathematical Society, 2003 It is a well-known and elementary fact that a holomorphic function on a compact complex manifold is necessarily constant. The purpose of the present article is to investigate whether, or to what extent, a similar property holds in the setting of holomorphically foliated spaces.
A. Zeghib, Renato Feres
openaire +2 more sources
Geometric properties of holomorphic functions involving generalized distribution with bell number
AIMS Mathematics, 2023 One of the statistical tools used in geometric function theory is the generalized distribution which has recently gained popularity due to its use in solving practical issues.
S. Santhiya , K. Thilagavathi
doaj +1 more source
Holomorphic representation of quantum computations [PDF]
Quantum, 2022 We study bosonic quantum computations using the Segal-Bargmann representation of quantum states. We argue that this holomorphic representation is a natural one which not only gives a canonical description of bosonic quantum computing using basic elements
Ulysse Chabaud, Saeed Mehraban
doaj +1 more source
Duality of holomorphic function spaces and smoothing properties of the Bergman projection [PDF]
, 2011 Let Ω ⊂⊂ Cn be a domain with smooth boundary, whose Bergman projection B maps the Sobolev space Hk1(Ω) (continuously) into Hk2(Ω). We establish two smoothing results: (i) the full Sobolev norm ‖Bf‖k2 is controlled by L2 derivatives of f taken along a ...
A. Herbig, J. McNeal, E. Straube
semanticscholar +1 more source
On Local definability of holomorphic functions [PDF]
The Quarterly Journal of Mathematics, 2019 Abstract Given a collection $\mathcal {A}$ of holomorphic functions, we consider how to describe all the holomorphic functions locally definable from $\mathcal {A}$. The notion of local definability of holomorphic functions was introduced by Wilkie, who gave a complete description of all functions locally definable from $\mathcal {A}$ in
Jones, Gareth +3 more
openaire +6 more sources
Coefficient estimates for families of bi-univalent functions defined by Ruscheweyh derivative operator [PDF]
Mathematica Moravica, 2021 The main purpose of this manuscript is to find upper bounds for the second and third Taylor-Maclaurin coefficients for two families of holomorphic and bi-univalent functions associated with Ruscheweyh derivative operator.
Bulut Serap, Kareem Wanas Abbas
doaj +1 more source