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On explicit estimates for linear forms in the values of a class of E-functions

Published online by Cambridge University Press:  17 April 2009

Xu Guangshan  and
Wang Lianxiang
Xu Guangshan
Affiliation:
School of Mathematics and Physics, Macquarie University, North Ryde, New South Wales 2113, Australia.
Wang Lianxiang
Affiliation:
School of Mathematics and Physics, Macquarie University, North Ryde, New South Wales 2113, Australia.
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Abstract

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We apply methods of Mahler to obtain explicit lower bounds for certain combinations of E-functions satisfying systems of linear differential equations as studied by Makarov. Our results sharpen and generalise earlier results of Mahler, Shidlovskii, and Väänänen.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 25 , Issue 1 , February 1982 , pp. 37 - 69
Copyright
Copyright © Australian Mathematical Society 1982

References

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