Results 11 to 20 of about 5,162,686 (175)
Functions Holomorphic along Holomorphic Vector Fields [PDF]
Journal of Geometric Analysis, 2009 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 positive reals. Then any function $ϕ$ that has an asymptotic Taylor expansion at p and is holomorphic
Kim, KT, Poletsky, E, Schmalz, G
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Some properties of a class of holomorphic functions associated with tangent function
Demonstratio MathematicaIn this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point
Khan Muhammad Ghaffar +5 more
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A Normality Criterion for Sharing a Holomorphic Function
AxiomsIn this paper, we scrutinize a collection of meromorphic functions known as normal families, prove the theorem that normal families share a holomorphic function, and present several illustrative counterexamples.
Sheng Wang, Xiaojun Huang
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Weighted Composition Operators from H∞ to α,m-Bloch Space on Cartan-Hartogs Domain of the First Type
Journal of Function Spaces, 2022 Let YI be nonhomogeneous Cartan-Hartogs domain of the first type, ϕ a holomorphic self-map, and ψ a fixed holomorphic function on YI. We study the weighted composition operator ψCϕf=ψf∘ϕ for a function f holomorphic on YI.
Jianbing Su, Ziyi Zhang
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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
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A maximal theorem for holomorphic semigroups on vector-valued spaces. [PDF]
, 2010 Suppose that ...
Doust, Ian +2 more
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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.
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Majorization Results for Certain Subfamilies of Analytic Functions
Journal of Function Spaces, 2021 Let h1z and h2z be two nonvanishing holomorphic functions in the open unit disc with h10=h20=1. For some holomorphic function qz, we consider the class consisting of normalized holomorphic functions f whose ratios fz/zqz and qz are subordinate to h1z and
Muhammad Arif +4 more
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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
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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
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