Transcendental Continued Fractions

Q3 Mathematics

Communications in Mathematics Pub Date : 2022-12-17 DOI:10.46298/cm.10519

S. Ahallal, A. Kacha

引用次数: 0

Abstract

In the present paper, we give sufficient conditions on the elements of the continued fractions $A$ and $B$ that will assure us that the continued fraction $A^B$ is a transcendental number. With the same condition, we establish a transcendental measure of $A^B.$

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超越连分数

在本文中，我们给出了连续分式$A$和$B$的元素的充分条件，这将保证连续分式$A^B$是一个超越数。在同样的条件下，我们建立了$A^B的非定常测度$

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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来源期刊

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.