Differential Transcendence of Iterative Logarithms
نویسنده
چکیده
We show that the iterative logarithm of the power series ez − 1 is differentially transcendental over the ring of convergent power series.
منابع مشابه
Transcendence Measures for Exponentials and Logarithms
In the present paper, we derive transcendence measures for the numbers log a, e, aP, (log aj)/(log 02) from a previous lower bound of ours on linear forms in the logarithms of algebraic numbers. Subject classification (Amer. Math Soc. (MOS) 1970): 10 F 05, 10 F 35
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