Relations between Ramanujan's cubic continued fraction and a continued fraction of order 12 and its evaluations

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2018-01-01 DOI:10.5666/KMJ.2018.58.2.319

B. R. S. Kumar, H. C. Vidya

引用次数: 0

Abstract

In the present paper, we establish relationship between continued fraction U(−q) of order 12 and Ramanujan’s cubic continued fraction G(−q) and G(q) for n = 1, 2, 3, 5 and 7. Also we evaluate U(q) and U(−q) by using two parameters for Ramanujan’s theta-functions and their explicit values.

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Ramanujan三次连分数与12阶连分数的关系及其计算

本文建立了n = 1、2、3、5、7时的12阶连分数U(- q)与Ramanujan的三次连分数G(- q)和G(q)之间的关系。我们还利用Ramanujan函数的两个参数及其显式值来计算U(q)和U(- q)。

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

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.