Pascal Delannoy三角形的非对称扩张

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics Pub Date : 2020-01-31 DOI:10.2298/aadm200411028a

Said Amrouche, H. Belbachir

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引用次数: 1

摘要

本文给出了帕斯卡三角形的一种推广，称为拟s-帕斯卡三角形。为此，考虑一组点阵路径，这是Ramirez和Sirvent定义的对偶方法:k-bonacci序列从Riordan数组的推广。电子组合学报，22(1)(2015)，1-38。给出了拟s-Pascal三角形有限射线上元素和的递推关系，并建立了该三角形系数的q-类似形式。还给出了一些恒等式。

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Asymmetric extension of Pascal-Delannoy triangles

In this paper, we give a generalization of the Pascal triangle called the quasi s-Pascal triangle. For this, consider a set of lattice path, which is a dual approach to the definition of Ramirez and Sirvent: A Generalization of the k-bonacci Sequence from Riordan Arrays. The electronic journal of combinatorics, 22(1) (2015), 1-38. We give the recurrence relation for the sum of elements lying over finite ray of the quasi s-Pascal triangle, then, we establish a q-analogue of the coefficient of this triangle. Some identities are also given.

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来源期刊

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).