对偶双曲Jacobthal数的一参数推广

IF 0.4 Q4 MATHEMATICS

Annales Mathematicae Silesianae Pub Date : 2023-04-02 DOI:10.2478/amsil-2023-0005

D. Bród, A. Szynal-Liana, I. Włoch

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引用次数: 0

摘要

摘要本文介绍了对偶双曲Jacobthal数的一参数推广——对偶双曲r-Jacobthal号。我们给出了它们的一些性质，其中包括Binet公式、Catalan、Cassini和d’Ocagne恒等式。此外，我们还给出了这些数的生成函数和求和公式。给出的结果是对偶双曲Jacobthal数结果的推广。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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One-Parameter Generalization of Dual-Hyperbolic Jacobsthal Numbers

Abstract In this paper, we introduce one-parameter generalization of dual-hyperbolic Jacobsthal numbers – dual-hyperbolic r-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, and d’Ocagne identities. Moreover, we give the generating function and summation formula for these numbers. The presented results are a generalization of the results for the dual-hyperbolic Jacobsthal numbers.

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来源期刊

Annales Mathematicae Silesianae Mathematics-Mathematics (all)

CiteScore

0.60

自引率

25.00%

发文量

审稿时长

27 weeks