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

## TL;DR

This paper improves upon Fel'dman's result by introducing second kind Padé approximations to establish sharper lower bounds for linear forms in the values of certain E-functions.

## Contribution

It introduces Padé approximations of the second kind, leading to a refined Baker-type lower bound for linear forms in E-function values.

## Key findings

- Achieved a sharper lower bound compared to Fel'dman's original result.
- Developed a new method using second kind Padé approximations.
- Enhanced understanding of linear forms in 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 Pad\'e approximations of the first kind for these functions. In the present paper we introduce Pad\'e approximations of the second kind for the same functions and use these to obtain a slightly improved version of Fel'dman's result.