کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4582456 1333807 2011 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the arithmetic nature of hypertranscendental functions at complex points
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On the arithmetic nature of hypertranscendental functions at complex points
چکیده انگلیسی

Most well-known transcendental functions usually take transcendental values at algebraic points belonging to their domains, the algebraic exceptions forming the so-called exceptional set. For instance, the exceptional set of the function ez−2 is the set {2}, as follows from the Hermite–Lindemann theorem. In this paper, we shall use interpolation formulae to prove that any subset of Q¯ is the exceptional set of uncountably many hypertranscendental entire functions with order of growth as small as we wish. Moreover these functions are algebraically independent over CC.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Expositiones Mathematicae - Volume 29, Issue 3, 2011, Pages 361–370
نویسندگان
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