*Bull. Austral. Math. Soc.* 72(3) pp.385--389, 2005.

# Note on the Schwarz triangle functions

## Mark Harmer |

Supported by a New Zealand FRST research fellowship.

## Abstract

We show 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.

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(Metadata: XML, RSS, BibTeX) | MathSciNet: MR2199640 | Z'blatt-MATH: pre05031538 |

## References

- A.F. Beardon;

*The geometry of discrete groups*(Springer-Verlag, Berlin, 1983).**MR698777** - M. Harmer, G. Martin and B. Pavlov;

Conformal mappings from the upper half plane to fundamental domains on the hyperbolic plane,

(Department of Maths Report series 499, University of Auckland, New Zealand, 2003). - J. Lehner;

Note on the Schwarz triangle functions,

*Pacific J. Math.***4**(1954), pp. 243--249.**MR61168** - Z. Nehari;

*Conformal mapping*(McGraw-Hill, New York, 1952).**MR45823**

ISSN 0004-9727