Titlebook: Complex Analysis; Articles dedicated t Joseph Hersch,Alfred Huber Book 1988 Birkhäuser Verlag Basel 1988 Complex analysis.Meromorphic funct

Initiative

https://doi.org/10.57088/978-3-7329-8864-8It is well known that a conformal mapping between domains bounded by Jordan curves can be extended to a homeomorphism of the closures. For many applications what is needed however is a local version of this result. In the present paper such a result is provided in a generalized context.

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Forum für Fachsprachen-ForschungIn this paper we shall briefly review the main facts referring to majorants (Perron envelopes) of special classes of functions, which are subharmonic in ., and describe some applications of the majorants.

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Forum für Fachsprachen-ForschungIt is easy to see that the extremal length of order . > 1 of the family of curves terminating at one point (resp. tending to the point at infinity) is infinite if and only if . ≤ . (resp. . ≥ .). In the present paper we generalize these results to the weighted extremal length.

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Interferenz bei Farbnamen: das Farbwort Let . = {..}, 0 ≤ |..|≤ |..|≤…, be a countably infinite set in the complex plane ℂ with no limit points in ℂ. We denote by .. the collection of functions .(.), analytic in ℂ., possessing finite .. norm,

Salivary-Gland

Ballad

,The Matrix and Chordal Norms of Möbius Transformations,A family . of self homeomorphisms of the Möbius space ℝ̅. is said to have the . if each infinite subfamily of . contains a sequence {..} such that one of the following is true.

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On Meromorphic Functions with Growth Conditions,We assume that the function . is meromorphic in 픻 = {. ∈ ℂ : |.| < 1}. Let .., ..,… denote positive constants. We say that . has locally bounded characteristic (l.b.c) in 픻 if there exists a function φ analytic and univalent in 픻 with φ(픻) ⊂ 픻, φ(픻 ⋂ ℝ) ⊂ ℝ and.such that

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On Boundary Correspondence for Domains on the Sphere,It is well known that a conformal mapping between domains bounded by Jordan curves can be extended to a homeomorphism of the closures. For many applications what is needed however is a local version of this result. In the present paper such a result is provided in a generalized context.