Remarks on the Vietoris Sequence and Corresponding Convolution Formulas

被引：1

作者：

Cacao, Isabel ^{[2
]}

Falcao, M. Irene ^{[1
]}

Malonek, Helmuth R. ^{[2
]}

Miranda, Fernando ^{[1
]}

Tomaz, Graca ^{[2
,3
]}

机构：

[1] Univ Minho, Ctr Matemat, Braga, Portugal

[2] Univ Aveiro, CIDMA, Aveiro, Portugal

[3] Polytech Guarda, Guarda, Portugal

来源：

COMPUTATIONAL SCIENCE AND ITS APPLICATIONS-ICCSA 2023 WORKSHOPS, PT I | 2023年 / 14104卷

关键词：

Sequences; Central binomial coefficients; Convolution triangles; Clifford algebra; MONOGENIC POLYNOMIALS;

D O I：

10.1007/978-3-031-37105-9_45

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper we consider the so-called Vietoris sequence, a sequence of rational numbers of the form c(k) = 1/2(k) (k inverted right perpendiculare k2 inverted left perpendicular, k = 0, 1,.... This sequence plays an important role in many applications and has received a lot of attention over the years. In this work we present the main properties of the Vietoris sequence, having in mind its role in the context of hypercomplex function theory. Properties and patterns of the convolution triangles associated with (ck) k are also presented.

引用

页码：677 / 692

页数：16

共 24 条

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