On the measuere of transcendence of formal Laurent series

Abstract

In this work , we determine the transcendence measure of the formal Laurent series, whose transcendence has been establıshed by S.M.SPENCER [14] . Using the methods and lemmas in P. Bundschuh’s article measure of transcendence fot the above n is determined as T(n,H)=H^{-(d+1)q^d-edq^(2d)}.
On the other hand , it was prowen that transcendence series n is not a U but is a S or T numbers according to the Mahler’s classification.