Open Access
2018 On the parametric representation of univalent functions on the polydisc
Sebastian Schleißinger
Rocky Mountain J. Math. 48(3): 981-1001 (2018). DOI: 10.1216/RMJ-2018-48-3-981

Abstract

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.

Citation

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Sebastian Schleißinger. "On the parametric representation of univalent functions on the polydisc." Rocky Mountain J. Math. 48 (3) 981 - 1001, 2018. https://doi.org/10.1216/RMJ-2018-48-3-981

Information

Published: 2018
First available in Project Euclid: 2 August 2018

zbMATH: 06917358
MathSciNet: MR3835582
Digital Object Identifier: 10.1216/RMJ-2018-48-3-981

Subjects:
Primary: 30C45 , 32H02

Keywords: Loewner theory , parametric representation , polydisc , support points , univalent functions

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

Vol.48 • No. 3 • 2018
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