Rocky Mountain Journal of Mathematics

On the parametric representation of univalent functions on the polydisc

Sebastian Schleißinger

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We consider support points of the class $S^0(\mathbb{D} ^n)$ of normalized univalent mappings on the polydisc $\mathbb{D} ^n$ with parametric representation, and we prove sharp estimates for coefficients of degree 2.

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Rocky Mountain J. Math., Volume 48, Number 3 (2018), 981-1001.

First available in Project Euclid: 2 August 2018

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Zentralblatt MATH identifier

Primary: 30C45: Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.) 32H02: Holomorphic mappings, (holomorphic) embeddings and related questions

Loewner theory parametric representation univalent functions polydisc support points


Schleißinger, Sebastian. On the parametric representation of univalent functions on the polydisc. Rocky Mountain J. Math. 48 (2018), no. 3, 981--1001. doi:10.1216/RMJ-2018-48-3-981.

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