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Some results on the Gamma function and other hypertranscendental functions†

Published online by Cambridge University Press:  14 November 2011

Steven B. Bank
Steven B. Bank
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, Illinois, U.S.A.
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Synopsis

This paper deals with conditions which guarantee that a meromorphic function on the plane cannot satisfy any algebraic differential equation having coefficients in a given field of meromorphic functions. Some of the conditions are of growth type, while others depend on a representation for the function.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 79 , Issue 3-4 , 1978 , pp. 335 - 341
Copyright
Copyright © Royal Society of Edinburgh 1978

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References

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