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http://dx.doi.org/10.4134/BKMS.2005.42.3.469

CERTAIN SUMMATION FORMULAS DUE TO RAMANUJAN AND THEIR GENERALIZATIONS  

RATHIE ARJUN K. (DEPARTMENT OF MATHMATHICS, DONGAR COLLEGE)
MALANI SHALOO (DEPARTMENT OF MATHMATHICS, DONGAR COLLEGE)
MATHUR RACHANA (DEPARTMENT OF MATHMATHICS, DONGAR COLLEGE)
CHOI JUNESANG (DEPARTMENT OF MATHMATHICS, DONGAR COLLEGE)
Publication Information
Bulletin of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 469-475 More about this Journal
Abstract
The authors aim at deriving four generalized summation formulas, which, upon specializing their parameters, give many summation identities including, especially, the four very interesting summation formulas due to Ramanujan. The results are derived with the help of generalized Dixon's theorem obtained earlier by Lavoie, Grondin, Rathie, and Arora.
Keywords
generalized hypergeometric series; Dixon's summation theorem;
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  • Reference
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