Taylor series of conformal mappings onto symmetric quadrilaterals

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

Abstract: We discuss the positivity (or lack thereof) of the non-vanishing coefficients of the Taylor series expansion about $z_0=0$ for the Riemann map of a family of rectangles and rhombi with defined symmetries.

Journal: Complex Variables and Elliptic Equations, 2015

DOI: 10.1080/17476933.2014.1001382