2017
Том 69
№ 9

All Issues

On the degree of holomorphic mappings from an annulus into an annulus

Nguyen Doan Tuan, Pham Viet Duc

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Abstract

We establish an estimate for the degree of a holomorphic mapping f : K 1 → K 2 (here, K 1 and K 2 are doubly-connected domains) in terms of the modulus of a family of curves in K 2. This estimate generalizes a result obtained by Kobayashi.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 8, pp 1353-1357.

Citation Example: Nguyen Doan Tuan, Pham Viet Duc On the degree of holomorphic mappings from an annulus into an annulus // Ukr. Mat. Zh. - 2004. - 56, № 8. - pp. 1135–1138.

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