On some identities of Ramanujan—Göllnitz—Gordon continued fraction

K. R. Vasuki, G. Sharath and K. R. Rajanna
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 17, 2011, Number 4, Pages 37—41
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Authors and affiliations

K. R. Vasuki
Department of Studies in Mathematics, University of Mysore
Manasagangotri, Mysore-570 006, India

G. Sharath
Department of Studies in Mathematics, University of Mysore
Manasagangotri, Mysore-570 006, India

K. R. Rajanna
Department of Mathematics, MVJ College of Engineering
Channasandra, Bangalore-560 067, India

Abstract

In this paper, we give an alternative and simple proof of certain identities of Ramanujan—Göllnitz—Gordon continued fraction.

Keywords

  • Continued fraction
  • Theta functions

AMS Classification

  • 11A55
  • 33D10

References

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Cite this paper

Vasuki, K. R., Sharath, G., & Rajanna, K. R. On some identities of Ramanujan—Göllnitz—Gordon continued fraction, Notes on Number Theory and Discrete Mathematics, 17(4), 50-60.

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