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

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Relations between Ramanujan's cubic continued fraction and a continued fraction of order 12 and its evaluations'. Together they form a unique fingerprint.

  • Cite this