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

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.