Des crit\`eres de transcendance inspir\'es par un texte de kolberg dat\'e de 1962. II

TL;DR

This paper discusses criteria for transcendence inspired by Kolberg's 1962 work, focusing on power series sums at algebraic points, introducing a method to identify additional classes of such series.

Contribution

It presents a new method to find classes of power series sums that are transcendental at algebraic points, expanding on Kolberg's original proof.

Findings

Introduces a method to identify more transcendental power series sums

Provides examples illustrating the method's application

Extends Kolberg's proof to new classes of series

Abstract

Transcendence criteria inspired by Kolberg's paper dated 1962. This is the second part of a note about Kolberg's proof that the values of the sums of a class of certain power series in x, for algebraic values of x, are transcendent. A method to find more such classes is presented and illustrated.