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On algebraic relations for Ramanujan’s functions

✍ Scribed by Carsten Elsner, Iekata Shiokawa


Book ID
118809257
Publisher
Springer US
Year
2012
Tongue
English
Weight
694 KB
Volume
29
Category
Article
ISSN
1382-4090

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In his famous paper [11], [12, pp. 23 39], Ramanujan offers several elegant series for 1Â?. He then remarks, ``There are corresponding theories in which q is replaced by one or other of the functions'' where r=3, 4, or 6 and where 2 F 1 denotes the classical Gaussian hypergeometric function. In the