带r-Lah系数的多项式的调和数恒等式

IF 0.8 4区数学 Q2 MATHEMATICS

Comptes Rendus Mathematique Pub Date : 2020-09-14 DOI:10.5802/CRMATH.53

L. Kargin, M. Can

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引用次数: 9

摘要

在本文中，使用系数涉及r -Lah数的多项式来计算涉及二项式系数、斯特林数、谐波数或超谐波数的几个求和公式。此外，引入了双谐波数，并对其基本性质进行了研究。摘要。在本文中，利用r -Lah数的系数多项式，建立了基于二项式系数、斯特林数和调和数或超调和数的几个求和公式。此外，我们还介绍了超调和非对称数，并研究了它的基本性质。11B75, 11B68, 47E05, 11B73, 11B83。手稿于2020年2月5日收到，2020年4月18日修订，2020年4月19日接受。

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Harmonic number identities via polynomials with r-Lah coefficients

In this paper, polynomials whose coefficients involve r -Lah numbers are used to evaluate several summation formulae involving binomial coefficients, Stirling numbers, harmonic or hyperharmonic numbers. Moreover, skew-hyperharmonic number is introduced and its basic properties are investigated. Résumé. Dans cet article, des polynômes à coefficients faisant intervenir les nombres r -Lah sont utilisés pour établir plusieurs formules de sommation en fonction des coefficients binomiaux, des nombres de Stirling et des nombres harmoniques ou hyper-harmoniques. De plus, nous introduisons le nombre asymétriquehyper-harmonique et nous étudions ses propriétés de base. 2020 Mathematics Subject Classification. 11B75, 11B68, 47E05, 11B73, 11B83. Manuscript received 5th February 2020, revised 18th April 2020, accepted 19th April 2020.

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来源期刊

Comptes Rendus Mathematique 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

115

审稿时长

16.6 weeks

期刊介绍： The Comptes Rendus - Mathématique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … Articles are original notes that briefly describe an important discovery or result. The articles are written in French or English. The journal also publishes review papers, thematic issues and texts reflecting the activity of Académie des sciences in the field of Mathematics.