Title of article :
On an Identity of Ramanujan Based on The Hypergeometric Series2F1( , ; ;x)
Author/Authors :
Li-Chien Shen، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1998
Pages :
10
From page :
125
To page :
134
Abstract :
Recently, B. C. Berndt, S. Bhargava and F. Garvan provided the first proof to an identity of Ramanujan. Their proof, which is based on various modular identities, is quite difficult and complicated. In this paper, we give a much simpler proof of this identity by converting it into an identity involving the classical elliptic functions and establishing the identity by comparing their Laurent series expansions at a pole.
Journal title :
Journal of Number Theory
Serial Year :
1998
Journal title :
Journal of Number Theory
Record number :
714821
Link To Document :
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