JP Journal of Algebra, Number Theory and Applications
Volume 2, Issue 1, Pages 5 - 20
(April 2002)
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INTEGRAL REPRESENTATIONS AND SOME EXPLICIT
EVALUATIONS OF A CONTINUED FRACTION OF RAMANUJAN
Chandrashekar Adiga (India), M. S. Mahadeva Naika (India) and Ramya Rao (India)
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Abstract: Ramanujan recorded many
beautiful continued fractions in his second
notebook. In this paper, we obtain two integral
representations and establish several explicit
evaluations of a continued fraction of Ramanujan
found in his second notebook. |
Keywords and phrases: continued fractions,
integral representations, modular equations, theta
functions. |
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