On a result of Fel’dman on linear forms in the values of some <em>E</em>-functions

Väänänen, Keijo (2017-12-16)
 
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https://doi.org/10.1007/s11139-017-9964-8

Väänänen, Keijo
Springer Nature
16.12.2017

Väänänen, K. On a result of Fel’dman on linear forms in the values of some E-functions. Ramanujan J 48, 33–46 (2019). https://doi.org/10.1007/s11139-017-9964-8

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© Springer Science+Business Media, LLC 2017. This is a post-peer-review, pre-copyedit version of an article published in Ramanujan J. The final authenticated version is available online at https://doi.org/10.1007/s11139-017-9964-8.
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doi:https://doi.org/10.1007/s11139-017-9964-8
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Abstract

We shall consider a result of Fel’dman, where a sharp Baker-type lower bound is obtained for linear forms in the values of some E-functions. Fel’dman’s proof is based on an explicit construction of Padé approximations of the first kind for these functions. In the present paper, we introduce Padé approximations of the second kind for the same functions and use these to obtain a slightly improved version of Fel’dman’s result.

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