Some more relations on Ramanujan's cubic continued fraction and a continued fraction of order 12

B. R.Srivatsa Kumar; H. C. Vidya

Some more relations on Ramanujan's cubic continued fraction and a continued fraction of order 12

B. R.Srivatsa Kumar^*
, H. C. Vidya

^*Corresponding author for this work

Department of Mathematics, Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we prove some modular relations between continued fraction U(qⁿ) of order 12 for n = 2,3 and 5 and Ramanujan's cubic continued fraction G(qⁿ) for n = 1, 2 and 3.

Original language	English
Pages (from-to)	191-196
Number of pages	6
Journal	Advanced Studies in Contemporary Mathematics (Kyungshang)
Volume	24
Issue number	2
Publication status	Published - 01-01-2014

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

@article{9b813e2a36b54d4faa30920665f95480,

title = "Some more relations on Ramanujan's cubic continued fraction and a continued fraction of order 12",

abstract = "In this paper, we prove some modular relations between continued fraction U(qn) of order 12 for n = 2,3 and 5 and Ramanujan's cubic continued fraction G(qn) for n = 1, 2 and 3.",

author = "Kumar, \{B. R.Srivatsa\} and Vidya, \{H. C.\}",

year = "2014",

month = jan,

day = "1",

language = "English",

volume = "24",

pages = "191--196",

journal = "Advanced Studies in Contemporary Mathematics (Kyungshang)",

issn = "1229-3067",

publisher = "Jangjeon Mathematical Society",

number = "2",

}

TY - JOUR

T1 - Some more relations on Ramanujan's cubic continued fraction and a continued fraction of order 12

AU - Kumar, B. R.Srivatsa

AU - Vidya, H. C.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - In this paper, we prove some modular relations between continued fraction U(qn) of order 12 for n = 2,3 and 5 and Ramanujan's cubic continued fraction G(qn) for n = 1, 2 and 3.

AB - In this paper, we prove some modular relations between continued fraction U(qn) of order 12 for n = 2,3 and 5 and Ramanujan's cubic continued fraction G(qn) for n = 1, 2 and 3.

UR - https://www.scopus.com/pages/publications/84901746700

UR - https://www.scopus.com/pages/publications/84901746700#tab=citedBy

M3 - Article

AN - SCOPUS:84901746700

SN - 1229-3067

VL - 24

SP - 191

EP - 196

JO - Advanced Studies in Contemporary Mathematics (Kyungshang)

JF - Advanced Studies in Contemporary Mathematics (Kyungshang)

IS - 2

ER -

Some more relations on Ramanujan's cubic continued fraction and a continued fraction of order 12

Abstract

All Science Journal Classification (ASJC) codes

Other files and links

Fingerprint

Cite this