Some New Values for the Rogers-Ramanujan Continued Fraction

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Authors

  • Department of Mathematics, Acharya Institute of Technology, Soldevanahalli, Chikkabanavara (Post), Hesaragatta Road, Bangalore-560090 ,IN
  • Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore-570006 ,IN

Keywords:

Theta Functions, Rogers-Ramanujan Continued Fraction.

Abstract

In his first and lost notebooks, Ramanujan has recorded several values for the Rogers-Ramanujan continued fraction. B.C. Berndt, H.H. Chan and L.-C. Zhang have established all these values on employing some of Ramanujan's eta-function identities. In this paper we obtain some new values for the Rogers-Ramanujan continued fraction.

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Published

2003-12-01

How to Cite

Vasuki, K. R., & Shivashankara, K. (2003). Some New Values for the Rogers-Ramanujan Continued Fraction. The Journal of the Indian Mathematical Society, 70(1-4), 87–95. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/21909