Results 21 to 30 of about 347 (160)
Some Results of Fekete-Szegö Type. Results for Some Holomorphic Functions of Several Complex Variables [PDF]
Symmetry, 2020 This paper is devoted to a generalization of the well-known Fekete-Szegö type coefficients problem for holomorphic functions of a complex variable onto holomorphic functions of several variables. The considerations concern three families of such functions f, which are bounded, having positive real part and which Temljakov transform Lf has positive real
Renata Długosz, Piotr Liczberski
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Boundary Morera theorems for holomorphic functions of several complex variables
Duke Mathematical Journal, 1991 Sei \(D\subset\mathbb{C}^ N\) ein beschränktes Gebiet und \(A(D):=C(\overline D)\cap{\mathcal O}(D)\). In der Arbeit geht es um die Frage, wann eine Funktion \(f\in C(\partial D)\) nach \(D\) holomorph fortsetzbar, d.h. Beschränkung einer Funktion aus \(A(D)\) ist. Eine notwendige und unter geeigneten Voraussetzungen auch hinreichende Bedingung ist die
Josip Globevnik, Edgar Lee Stout
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Fejér-Riesz inequality for holomorphic functions of several complex variables [PDF]
Tohoku Mathematical Journal, 1981 Morisuke Hasumi, Nozomu Mochizuki
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Representation of pseudo-holomorphic functions of several complex variables [PDF]
Journal of the Mathematical Society of Japan, 1976 Akira Koohara
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Journal of the Korean Mathematical Society, 2016 Summary: In this paper, we investigate a family of holomorphic functions in several complex variables concerning the total derivative (or called radial derivative), and obtain some well-known normality criteria such as the Miranda's theorem, the Marty's theorem and results on the Hayman's conjectures in several complex variables.
Tingbin Cao, Zhixue Liu
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A Removability Result for Holomorphic Functions of Several Complex Variables
Journal of Basic & Applied Sciences, 2016 Suppose that Ω is a domain of Cn, n > 1, E ⊂ Ω closed in W, the Hausdorff measure H2n-1(E)=0, and f is holomorphic in Ω/E. It is a classical result of Besicovitch that if n = 1 and f is bounded, then f has a unique holomorphic extension to Ω.
Juhani Riihentaus
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, 2013 The aim of this thesis is to establish, discuss and compare different sufficient conditions under which unweighted and weighted Bergman spaces are non-trivial or even infinite dimensional. We focus on Bergman spaces of square integrable holomorphic functions over unbounded domains in $\mathbb{C}$ and $\mathbb{C}^n$.
Tobias Preinerstorfer
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Rocky Mountain Journal of Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhixue Liu, Tingbin Cao
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Some criteria of boundedness of the L-index in direction for slice holomorphic functions of several complex variables [PDF]
Ukrainian Mathematical Bulletin, 2019 We investigate the slice holomorphic functions of several complex variables that have a bounded \(L\)-index in some direction and are entire on every slice \(\{z^0+t\mathbf{b}: t\in\mathbb{C}\}\) for every \(z^0\in\mathbb{C}^n\) and for a given direction \(\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}\).
Andriy Bandura, О. Б. Скасків
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Representation of Some Ratios of Horn’s Hypergeometric Functions H7 by Continued Fractions
Axioms, 2023 The paper deals with the problem of representation of Horn’s hypergeometric functions via continued fractions and branched continued fractions. We construct the formal continued fraction expansions for three ratios of Horn’s hypergeometric functions H7 ...
Tamara Antonova +3 more
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