A pair of rational double sequences-Reference-Cited by-同舟云学术

A pair of rational double sequences

Published:2021-11-23 Issue:0 Volume:0 Page:
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Altynbek Serik¹,Begehr Heinrich²^ORCID

Affiliation:

1. Kazakh University of Economics, Finance and International Trade , Zhubanov str. 7, 010005 Nur-Sultan , Kazakhstan

2. Institute of Mathematics , FU Berlin , Arnimallee 3, 14195 Berlin , Germany

Abstract

Abstract Double sequences appear in a natural way in cases of iteratively given sequences if the iteration allows to determine besides the successors from the predecessors also the predecessors from their followers. A particular pair of double sequences is considered which appears in a parqueting-reflection process of the complex plane. While one end of each sequence is a natural number sequence, the other consists of rational numbers. The natural numbers sequences are not yet listed in OEIS Wiki. Complex versions from the double sequences are provided.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2021-2119/pdf

Reference3 articles.

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2. H. Begehr, H. Lin, H. Liu and B. Shupeyeva, An iterative real sequence based on 2 \sqrt{2} and 3 \sqrt{3} providing a plane parqueting and harmonic Green functions, Complex Var. Elliptic Equ. 66 (2021), no. 6–7, 988–1013.

3. N. G. A. Sloane, The on-line encyclopedia of integers sequences, The OEIS Foundation Inc, http://oeis.org, 2018.