Results 161 to 170 of about 86,055 (204)
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1983
The author continues and extends his previous investigations [ibid. 35(1983)]. He proves e.g. that if \(\phi\) is entire function in \({\mathbb{C}}\), D is a domain in \({\mathbb{C}}^ n\), and \(f\in H(D)\), then \({\tilde \phi}=\phi \circ f\) is GM-holomorphic and L(\({\tilde \phi}\))\(=\phi '\circ f\).
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The author continues and extends his previous investigations [ibid. 35(1983)]. He proves e.g. that if \(\phi\) is entire function in \({\mathbb{C}}\), D is a domain in \({\mathbb{C}}^ n\), and \(f\in H(D)\), then \({\tilde \phi}=\phi \circ f\) is GM-holomorphic and L(\({\tilde \phi}\))\(=\phi '\circ f\).
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1992
Abstract Complex analysis may be summarized as the study of holomorphic functions. Holomorphic means—almost—the same as differentiable, but there is a critical distinction between the two concepts. This comes from the role played by open sets. h has different limiting values when h approaches O from different directions.
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Abstract Complex analysis may be summarized as the study of holomorphic functions. Holomorphic means—almost—the same as differentiable, but there is a critical distinction between the two concepts. This comes from the role played by open sets. h has different limiting values when h approaches O from different directions.
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Holomorphic harmonic functions
Russian Journal of Mathematical Physics, 2008We consider boundary problems for holomorphic harmonic functions on hyperboloids at ℂn using concepts of integral geometry.
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Interpolating Holomorphic Functions
2018One of the main results of this text is that the monodromy M(λ) can be reconstructed uniquely (up to a sign in the off-diagonal entries) from the spectral data \((\varSigma ,\mathcal {D})\).
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On universal holomorphic functions
1988Let \(\{c_ n\}\) be a sequence in the complex plane C with lim \(c_ n=\infty\). \textit{W. Luh} [Colloq. Math. Soc. János Bolyai 19, 503-511 (1978; Zbl 0411.30017)] proved the existence of an entire function F such that, for every compact set \(K\subset C\) with connected complement, and for every function f(z) that is holomorphic in the interior of K ...
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