Binary Forms, Hypergeometric Functions and the Schwarz-Christoffel Mapping Formula

DOI10.2307/2155070zbMath0857.11014OpenAlexW4253923788MaRDI QIDQ4875819

Michael A. Bean

Publication date: 18 March 1997

Full work available at URL: https://doi.org/10.2307/2155070

zbMATH Keywords

hypergeometric functionsbinary formsequiangular polygonsSchwarz-Christoffel mapping formula

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Diophantine inequalities (11D75) Diophantine inequalities (11J25) Length, area and volume in real or complex geometry (51M25) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (6)

An isoperimetric inequality related to Thue’s equation ⋮ ON THE AREA OF THE FUNDAMENTAL REGION OF A BINARY FORM ASSOCIATED WITH ALGEBRAIC TRIGONOMETRIC QUANTITIES ⋮ The practical computation of areas associated with binary quartic forms ⋮ On the area bounded by the curve \(\prod_{k = 1}^n|x\sin\frac{k\pi}{n} - y\cos\frac{k\pi}{n}|=1\) ⋮ Binary forms, equiangular polygons and harmonic measure ⋮ A Note on the Thue Inequality

Uses Software

• Maple

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Thue's equation and a conjecture of Siegel
• Diophantine approximations and diophantine equations
• On the Newton polygon
• On Thue's equation
• On the approximation of algebraic numbers. III: On the average numbers of representations of large numbers by binary forms
• An isoperimetric inequality related to Thue’s equation
• Isoperimetric Inequalities for Volumes Associated with Decomposable Forms
• On binary cubic forms.

This page was built for publication: Binary Forms, Hypergeometric Functions and the Schwarz-Christoffel Mapping Formula