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A note on a continued fraction of Ramanujan

Published online by Cambridge University Press:  17 April 2009

C. Adiga  and
N. Anitha
C. Adiga
Affiliation:
Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore-570006, India, e-mail: c_adiga@hotmail.com
N. Anitha
Affiliation:
Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore-570006, India, e-mail: ani_nie@indiatimes.com
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Ramanujan recorded many beautiful continued fractions in his notebooks. In this paper, we derive several indentities involving the Ramanujan continued fraction c(q), including relations between c(q) and c(qn). We also obtain explicit evaluations of for various positive integers n.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 489 - 497
Copyright
Copyright © Australian Mathematical Society 2004

References

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