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

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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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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Oulu, P. O. Box 3000, 90014, Oulu, Finland

    Keijo Väänänen

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  1. Keijo Väänänen
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Correspondence to Keijo Väänänen.

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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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  • DOI: https://doi.org/10.1007/s11139-017-9964-8

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