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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On meromorphic functions commuting with elements of a function group


Author: John Roderick Smart
Journal: Proc. Amer. Math. Soc. 33 (1972), 343-348
MSC: Primary 30A58
MathSciNet review: 0293086
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Abstract: The problem of whether there always exist meromorphic functions commuting with all substitutions of a function group is solved in the affirmative.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1972-0293086-1
PII: S 0002-9939(1972)0293086-1
Keywords: Automorphic form, Fuchsian group, Kleinen group, Weierstrass zeta function, modular group, Dedekind eta function
Article copyright: © Copyright 1972 American Mathematical Society