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2001 Some {$q$}-identities associated with Ramanujan's continued fraction
Bhaskar Srivastava
Kodai Math. J. 24(1): 36-41 (2001). DOI: 10.2996/kmj/1106157293

Abstract

A continued fraction C(-q,q) is defined as a special case of a general continued fraction F(a,b,c,{$\lambda$}q), which we have considered earlier in a separate paper. This continued fraction is also a special case of Ramanujan's continued fraction. In this paper we have found some very interesting q-identities and some identities analogous to identities given by Ramanujan involving G(-q,q) and H(-q,q) and one identity which gives the square of a continued fraction.

Citation

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Bhaskar Srivastava. "Some {$q$}-identities associated with Ramanujan's continued fraction." Kodai Math. J. 24 (1) 36 - 41, 2001. https://doi.org/10.2996/kmj/1106157293

Information

Published: 2001
First available in Project Euclid: 19 January 2005

zbMATH: 0977.33014
MathSciNet: MR1813716
Digital Object Identifier: 10.2996/kmj/1106157293

Subjects:
Primary: 33D15
Secondary: 11B65

Rights: Copyright © 2001 Tokyo Institute of Technology, Department of Mathematics

Vol.24 • No. 1 • 2001
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