Schwarz triangle function: Difference between revisions

Revision as of 02:44, 20 August 2022

Revision as of 03:46, 20 August 2022

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== Value at singular points ==

This mapping has [[regular singular points]] at ''z'' = 0, 1, and ∞, corresponding to the vertices of the triangle with angles πα, πγ, and πβ respectively. At these singular points,{{sfn|Nehari|1975|pages=315−316}}

:<math>s(0) = 0</math>,

:<math>s(1) = \frac