Note on the transcendence of certain series
William J. LeVeque · Proceedings of the American Mathematical Society · 1951
defines a function fkm in the range x | e-1. It is the object of this note to show that fkm (x) is transcendental for every algebraic x H 0 in this interval. The proof involves no new transcendence investigations, but depends directly on Lindemann's theorem that ex is transcendental for algebraic x #0. The connection between the exponential function and fksm is established by using the Lagrange expansion in powers of x