The Journal of the Indian Mathematical Society

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Some New Values for the Rogers-Ramanujan Continued Fraction


Affiliations
1 Department of Mathematics, Acharya Institute of Technology, Soldevanahalli, Chikkabanavara (Post), Hesaragatta Road, Bangalore-560090, India
2 Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore-570006, India
     

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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.

Keywords

Theta Functions, Rogers-Ramanujan Continued Fraction.
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  • Some New Values for the Rogers-Ramanujan Continued Fraction

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Authors

K. R. Vasuki
Department of Mathematics, Acharya Institute of Technology, Soldevanahalli, Chikkabanavara (Post), Hesaragatta Road, Bangalore-560090, India
K. Shivashankara
Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore-570006, India

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.

Keywords


Theta Functions, Rogers-Ramanujan Continued Fraction.