On One Criterion for the Holomorphy of an Arbitrary Mapping of a Plane Domain into a Plane
Abstract
We prove the holomorphy of a function that, at every point, preserves either angles or dilations with respect to a certain set.
English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 9, pp 1395-1409.
Citation Example: Brodovich M. T. On One Criterion for the Holomorphy of an Arbitrary Mapping of a Plane Domain into a Plane // Ukr. Mat. Zh. - 2003. - 55, № 9. - pp. 1155-1166.
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