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On a problem of mahler for transcendency of function values

Published online by Cambridge University Press:  09 April 2009

Kumiko Nishioka
Kumiko Nishioka
Affiliation:
Department of MathematicsNara Women's UniversityKita-Uoya Nishimachi, Nara 630, Japan
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Abstract

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A transcendence theorem is proved for functions satisfying functional equations of the shape P(z, f(z), f(zp)) = 0, where P is a polynomial and p ≥ 2 is an integer.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 33 , Issue 3 , December 1982 , pp. 386 - 393
Copyright
Copyright © Australian Mathematical Society 1982

References

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