کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598759 1631104 2016 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A combinatorial equivalence relation for formal power series
ترجمه فارسی عنوان
رابطه همبستگی برای سری قدرت رسمی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

In this paper we examine an equivalence relation on the set of formal power series with nonzero constant term. This is done both in terms of functional equations and also by interlacing two concepts from Riordan group theory, the A-sequence and the Bell subgroup. The best known example gives an equivalence class{1+z,1/(1−z),C(z),T(z),Q(z),…}{1+z,1/(1−z),C(z),T(z),Q(z),…} where C(z),T(z)C(z),T(z) and Q(z)Q(z) are generating functions of the Catalan numbers, ternary numbers and quaternary numbers, respectively. A power series for one member of an equivalence class can be transformed into power series for the rest of members in the equivalence class and interpretations in terms of weighted lattice paths can also be given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 491, 15 February 2016, Pages 123–137
نویسندگان
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