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

Belakavadi Radhakrishna Srivatsa Kumar, Harekala Chandrashekara Vidya

Research output: Contribution to journalArticle

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(qn) 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.

Original languageEnglish
Pages (from-to)319-332
Number of pages14
JournalKyungpook Mathematical Journal
Volume58
Issue number2
DOIs
Publication statusPublished - 01-01-2018

Fingerprint

Ramanujan
Continued fraction
Theta Functions
Evaluation
Two Parameters
Evaluate
Relationships

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

Kumar, Belakavadi Radhakrishna Srivatsa ; Vidya, Harekala Chandrashekara. / Relations between Ramanujan's cubic continued fraction and a continued fraction of order 12 and its evaluations. In: Kyungpook Mathematical Journal. 2018 ; Vol. 58, No. 2. pp. 319-332.
@article{39f03e8168e345698dc62bdef80e428e,
title = "Relations between Ramanujan's cubic continued fraction and a continued fraction of order 12 and its evaluations",
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(qn) 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.",
author = "Kumar, {Belakavadi Radhakrishna Srivatsa} and Vidya, {Harekala Chandrashekara}",
year = "2018",
month = "1",
day = "1",
doi = "10.5666/KMJ.2018.58.2.319",
language = "English",
volume = "58",
pages = "319--332",
journal = "Kyungpook Mathematical Journal",
issn = "1225-6951",
publisher = "Kyungpook National University",
number = "2",

}

Relations between Ramanujan's cubic continued fraction and a continued fraction of order 12 and its evaluations. / Kumar, Belakavadi Radhakrishna Srivatsa; Vidya, Harekala Chandrashekara.

In: Kyungpook Mathematical Journal, Vol. 58, No. 2, 01.01.2018, p. 319-332.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Relations between Ramanujan's cubic continued fraction and a continued fraction of order 12 and its evaluations

AU - Kumar, Belakavadi Radhakrishna Srivatsa

AU - Vidya, Harekala Chandrashekara

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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(qn) 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.

AB - 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(qn) 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.

UR - http://www.scopus.com/inward/record.url?scp=85049802022&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85049802022&partnerID=8YFLogxK

U2 - 10.5666/KMJ.2018.58.2.319

DO - 10.5666/KMJ.2018.58.2.319

M3 - Article

VL - 58

SP - 319

EP - 332

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

SN - 1225-6951

IS - 2

ER -