کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4632265 1340640 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Catalan matrix and related combinatorial identities
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Catalan matrix and related combinatorial identities
چکیده انگلیسی
We introduce the notion of the Catalan matrix Cn[x] whose non-zero elements are expressions which contain the Catalan numbers arranged into a lower triangular Toeplitz matrix. Inverse of the Catalan matrix is derived. Correlations between the matrix Cn[x] and the generalized Pascal matrix are considered. Some combinatorial identities involving Catalan numbers, binomial coefficients and the generalized hypergeometric function are derived using these correlations. Moreover, an additional explicit representation of the Catalan number, as well as an explicit representation of the sum of the first m Catalan numbers are given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 215, Issue 2, 15 September 2009, Pages 796-805
نویسندگان
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