کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4630905 1340611 2011 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some identities on Catalan numbers and hypergeometric functions via Catalan matrix power
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Some identities on Catalan numbers and hypergeometric functions via Catalan matrix power
چکیده انگلیسی
In this paper we use the Catalan matrix power as a tool for deriving identities involving Catalan numbers and hypergeometric functions. For that purpose, we extend earlier investigated relations between the Catalan matrix and the Pascal matrix by inserting the Catalan matrix power and particulary the squared Catalan matrix in those relations. We also pay attention to some relations between Catalan matrix powers of different degrees, which allows us to derive the simplification formula for hypergeometric function 3F2, as well as the simplification formula for the product of the Catalan number and the hypergeometric function 3F2. Some identities involving Catalan numbers, proved by the non-matrix approach, are also given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 22, 15 July 2011, Pages 9122-9132
نویسندگان
,