کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599850 1336825 2013 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The elements of finite order in the Riordan group over the complex field
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The elements of finite order in the Riordan group over the complex field
چکیده انگلیسی

An element of finite order in the Riordan group over the real field must have order 1 or 2. If we extend all the entries to be complex numbers then it may have any finite order. In the present paper, we investigate the elements of finite order of the Riordan group over the complex field. This notion leads us to define an element of pseudo order k⩾2k⩾2 and k-pseudo involution, respectively. It turns out that the inverse of a k-pseudo involution only differs from it in signs. We clarify some relationship between the elements of pseudo order k and k-pseudo involutions. In particular, k  -pseudo involutions for k≡0k≡0(mod4) are characterized by a single sequence. The subgroups of the Riordan group formed by the elements having pseudo order of a prime power prpr are also introduced.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 439, Issue 12, 15 December 2013, Pages 4032–4046
نویسندگان
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