Results 11 to 20 of about 10,586,623 (271)
Functions holomorphic along holomorphic vector fields [PDF]
Journal of Geometric Analysis, 2008 The main result of the paper is the following generalization of Forelli's theorem: Suppose F is a holomorphic vector field with singular point at p, such that F is linearizable at p and the matrix is diagonalizable with the eigenvalues whose ratios are ...
B.V. Shabat +7 more
core +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
On Zeros of Holomorphic Functions
Journal of Siberian Federal University. Mathematics & Physics, 2016 Summary: The aim of the article is to find conditions on the coefficients of the Taylor expansion of a holomorphic function in \(\mathbb{C}\) that guarantee a absence of zeros.
Olga V. Khodos
openalex +6 more sources
Boson-fermion correspondence and holomorphic anomaly equation in 2d Yang-Mills theory on torus
Journal of High Energy Physics, 2021 Recently, Okuyama and Sakai proposed a novel holomorphic anomaly equation for the partition function of 2d Yang-Mills theory on a torus, based on an anholomorphic deformation of the propagator in the bosonic formulation.
Min-xin Huang
doaj +1 more source
Математичні Студії, 2022 Let $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e. we study functions which are analytic in intersection of every slice $\{z^0+t\mathbf{
A. I. Bandura, T. M. Salo, O. B. Skaskiv
doaj +1 more source
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
Inequalities Involving Essential Norm Estimates of Product-Type Operators
Journal of Mathematics, 2021 Consider an open unit disk D=z∈ℂ ...
Manisha Devi, Ajay K. Sharma, Kuldip Raj
doaj +1 more source
Green's function and anti-holomorphic dynamics on a torus [PDF]
, 2015 We give a new, simple proof of the fact recently discovered by C.-S. Lin and C.-L. Wang that the Green function of a torus has either three or five critical points, depending on the modulus of the torus. The proof uses anti-holomorphic dynamics.
Walter Bergweiler, A. Eremenko
semanticscholar +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
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.
Feres, R., Zeghib, A.
openaire +3 more sources