an interesting q-continued fractions of ramanujan

S. N. Fathima,T. Kathiravan,Yudhisthira Jamudulia

Published in International Journal of Advanced Research in Mathematics and Applications

ISSN: 2350-028X          Impact Factor:1.2         Volume:1         Issue:1         Year: 08 January,2014         Pages:63-73

Abstract

In this paper, we establish an interesting q-identity and an integral representation of a q-continued fraction of Ramanujan. We also compute explicit evaluation of this continued fraction and derive its relation with Ramanujan G¨ollnitz -Gordon continued fraction. 2000 Mathematics Subject Classification: 11A55.

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Kewords

Continued fractions, Modular Equations.

Reference

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