双曲线内的整数序列和椭圆链

IF 0.3 Q4 MATHEMATICS Annales Mathematicae et Informaticae Pub Date : 2020-01-01 DOI:10.33039/ami.2020.06.002

H. Belbachir, L. Németh, Soumeya Merwa Tebtoub

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引用次数: 3

摘要

我们提出了Lucca [Giovanni Lucca，双曲线内的整数序列和圆链]的工作的推广，论坛几何，卷19。2019年,16)。我们的目标是研究双曲线内的椭圆链，并推导出椭圆链的中心和长(短)轴的递推关系。我们还确定了这些递归序列由整数组成的条件。

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Integer sequences and ellipse chains inside a hyperbola

We propose an extension to the work of Lucca [Giovanni Lucca, Integer sequences and circle chains inside a hyperbola, Forum Geometricorum , Vol-ume 19. 2019, 11–16]. Our goal is to examine chains of ellipses inside a hyperbola, and we derive recurrence relations of centers and minor (major) axes of the ellipse chains. We also determine conditions for these recurrence sequences to consist of integer numbers.

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来源期刊

Annales Mathematicae et Informaticae MATHEMATICS-

CiteScore

0.90

自引率

0.00%

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