Results 11 to 20 of about 2,712,853 (214)
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
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Holomorphic extension of generalizations of Hp functions
International Journal of Mathematics and Mathematical Sciences, 1985 In recent analysis we have defined and studied holomorphic functions in tubes in ℂn which generalize the Hardy Hp functions in tubes. In this paper we consider functions f(z), z=x+iy, which are holomorphic in the tube TC=ℝn+iC, where C is the finite ...
Richard D. Carmichael
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Multiply Universal Holomorphic Functions [PDF]
Journal of Approximation Theory, 1997 The problem of the existence of so-called ``universal functions'' (compare W. Luh, Holomorphic monsters. [J. Approximation Theory 53, No. 2, 128-144 (1988; Zbl 0669.30020)] for the notations and the history of the topic) is generalized. The main result is the following: Let \({\mathcal O} \subset\mathbb{C}\), \({\mathcal O} \neq\mathbb{C}\), be an open
Luh, Wolfgang
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Banach Spaces of Analytic Vector-valued Functions [PDF]
, 2007 The main theme of the thesis is the study of continuity and approximation problems, involving matrix-valued and vector-valued Hardy spaces on the unit disc ID and its boundary T in the complex plane.
Barclay, Steven John
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On the order of holomorphic and \(c\)-holomorphic functions [PDF]
, 2007 Summary: In the first part of this paper, we prove that the Łojasiewicz exponent of a non-constant holomorphic germ \(f:(\mathbb C^m,0)\to (\mathbb C,0)\) is a good exponent for \(f\) coinciding with the order of vanishing of \(f\) at zero and the degree at zero of its cycle of zeros \(Z_f\).
Maciej P. Denkowski, Denkowski, Maciej
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Classification of Holomorphic Functions as Pólya Vector Fields via Differential Geometry
Mathematics, 2021 We review Pólya vector fields associated to holomorphic functions as an important pedagogical tool for making the complex integral understandable to the students, briefly mentioning its use in other dimensions.
Lucian-Miti Ionescu +2 more
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Aspects of Topological String Theory [PDF]
, 2008 Two aspects of the topological string and its applications are considered in this thesis. Firstly, non-perturbative contributions to the OSV conjecture relating four-dimensional extremal black holes and the closed topological string partition function ...
Cook, Paul Langabi Hogan
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An holomorphic study of Smarandache automorphic and cross inverse property loops [PDF]
, 2008 By studying the holomorphic structure of automorphic inverse property uasigroups and loops[AIPQ and (AIPL)] and cross inverse property quasigroups and loops[CIPQ and (CIPL)], it is established that the holomorph of a loop is a Smarandache; AIPL, CIPL, K ...
Gbolahan, Temitoe +1 more
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Holomorphic anomalies, fourfolds and fluxes
Journal of High Energy Physics, 2022 We investigate holomorphic anomalies of partition functions underlying string compactifications on Calabi-Yau fourfolds with background fluxes. For elliptic fourfolds the partition functions have an alternative interpretation as elliptic genera of N = 1 ...
Seung-Joo Lee +3 more
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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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