کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
419760 683856 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bernoulli polynomials and Pascal matrices in the context of Clifford analysis
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
Bernoulli polynomials and Pascal matrices in the context of Clifford analysis
چکیده انگلیسی

This paper describes an approach to generalized Bernoulli polynomials in higher dimensions by using Clifford algebras. Due to the fact that the obtained Bernoulli polynomials are special hypercomplex holomorphic (monogenic) functions in the sense of Clifford Analysis, they have properties very similar to those of the classical polynomials. Hypercomplex Pascal and Bernoulli matrices are defined and studied, thereby generalizing results recently obtained by Zhang and Wang (Z. Zhang, J. Wang, Bernoulli matrix and its algebraic properties, Discrete Appl. Math. 154 (11) (2006) 1622–1632).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Applied Mathematics - Volume 157, Issue 4, 28 February 2009, Pages 838–847
نویسندگان
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