Taylor series of conformal mappings onto symmetric quadrilaterals

Loredana Lanzani; Jeanine L. Myers; Andrew S. Raich

doi:10.1080/17476933.2014.1001382

Taylor series of conformal mappings onto symmetric quadrilaterals

Loredana Lanzani, Jeanine L. Myers, Andrew S. Raich

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss the positivity (or lack thereof) of the non-vanishing coefficients of the Taylor series expansion about (Formula presented.) for the Riemann map of a family of rectangles and rhombi with defined symmetries.

Original language	English (US)
Pages (from-to)	1133-1141
Number of pages	9
Journal	Complex Variables and Elliptic Equations
Volume	60
Issue number	8
DOIs	https://doi.org/10.1080/17476933.2014.1001382
State	Published - Aug 3 2015

Keywords

Schwarz–Christoffel map
Taylor series
symmetry

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1080/17476933.2014.1001382

Cite this

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title = "Taylor series of conformal mappings onto symmetric quadrilaterals",

abstract = "We discuss the positivity (or lack thereof) of the non-vanishing coefficients of the Taylor series expansion about (Formula presented.) for the Riemann map of a family of rectangles and rhombi with defined symmetries.",

keywords = "Schwarz–Christoffel map, Taylor series, symmetry",

author = "Loredana Lanzani and Myers, {Jeanine L.} and Raich, {Andrew S.}",

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AU - Raich, Andrew S.

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N2 - We discuss the positivity (or lack thereof) of the non-vanishing coefficients of the Taylor series expansion about (Formula presented.) for the Riemann map of a family of rectangles and rhombi with defined symmetries.

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Taylor series of conformal mappings onto symmetric quadrilaterals

Abstract

Keywords

ASJC Scopus subject areas

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