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Title: Geometric Aspects of Analytic Functions

Abstract

We study a pair of surfaces associated with a function analytic in a domain G, establish relations between the coefficients of the first (second) fundamental quadratic forms of these surfaces and prove theorems on their invariance under conformal transformations.

Authors:
 [1]
  1. Mechnikov Odesa National University (Ukraine)
Publication Date:
OSTI Identifier:
22773579
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 236; Journal Issue: 1; Other Information: Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ANALYTIC FUNCTIONS; CONFORMATIONAL CHANGES; GEOMETRY; SURFACES

Citation Formats

Bezkorovaina, L. L. Geometric Aspects of Analytic Functions. United States: N. p., 2019. Web. doi:10.1007/S10958-018-4099-Z.
Bezkorovaina, L. L. Geometric Aspects of Analytic Functions. United States. doi:10.1007/S10958-018-4099-Z.
Bezkorovaina, L. L. Tue . "Geometric Aspects of Analytic Functions". United States. doi:10.1007/S10958-018-4099-Z.
@article{osti_22773579,
title = {Geometric Aspects of Analytic Functions},
author = {Bezkorovaina, L. L.},
abstractNote = {We study a pair of surfaces associated with a function analytic in a domain G, establish relations between the coefficients of the first (second) fundamental quadratic forms of these surfaces and prove theorems on their invariance under conformal transformations.},
doi = {10.1007/S10958-018-4099-Z},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 1,
volume = 236,
place = {United States},
year = {2019},
month = {1}
}