Julia’s equation and differential transcendence
نویسندگان
چکیده
منابع مشابه
Julia’s Equation and Differential Transcendence
We show that the iterative logarithm of each non-linear entire function is differentially transcendental over the ring of entire functions, and we give a sufficient criterion for such an iterative logarithm to be differentially transcendental over the ring of convergent power series. Our results apply, in particular, to the exponential generating function of a sequence arising from work of Shad...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2015
ISSN: 0019-2082
DOI: 10.1215/ijm/1462450701