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Note on the Schwarz triangle functions

Published online by Cambridge University Press:  17 April 2009

Mark Harmer
Mark Harmer
Affiliation:
Institute of Information and Mathematical Sciences Massey University Albany, New Zealand, e-mail: [email protected]
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We shown the rationality of the Taylor coefficients of the inverse of the Schwarz triangle functions for a triangle group about any vertex of the fundamental domain.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 72 , Issue 3 , December 2005 , pp. 385 - 389
Copyright
Copyright © Australian Mathematical Society 2005

References

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[3]Lehner, J., ‘Note on the Schwarz triangle functions’, Pacific J. Math. 4 (1954), 243–249.CrossRefGoogle Scholar
[4]Nehari, Z., Conformal mapping (McGraw-Hill, New York, 1952).Google Scholar