双周期Fibonacci和Lucas序列的q-相似性及Rogers–Ramanujan恒等式

IF 0.6 3区数学 Q3 MATHEMATICS

Ramanujan Journal Pub Date : 2022-10-15 DOI:10.1007/s11139-022-00647-4

Nassima Belaggoun, H. Belbachir, Athmane Benmezai

引用次数: 1

摘要

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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A q-analogue of the bi-periodic Fibonacci and Lucas sequences and Rogers–Ramanujan Identities

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来源期刊

Ramanujan Journal 数学-数学

CiteScore

1.40

自引率

14.30%

发文量

133

审稿时长

6-12 weeks

期刊介绍： The Ramanujan Journal publishes original papers of the highest quality in all areas of mathematics influenced by Srinivasa Ramanujan. His remarkable discoveries have made a great impact on several branches of mathematics, revealing deep and fundamental connections. The following prioritized listing of topics of interest to the journal is not intended to be exclusive but to demonstrate the editorial policy of attracting papers which represent a broad range of interest: Hyper-geometric and basic hyper-geometric series (q-series) * Partitions, compositions and combinatory analysis * Circle method and asymptotic formulae * Mock theta functions * Elliptic and theta functions * Modular forms and automorphic functions * Special functions and definite integrals * Continued fractions * Diophantine analysis including irrationality and transcendence * Number theory * Fourier analysis with applications to number theory * Connections between Lie algebras and q-series.