Ramanujan and Hypergeometric Series

K. Srinivasa Rao ()
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K. Srinivasa Rao: The Institute of Mathematical Sciences, Theoretical Physics

Chapter Chapter 5 in Srinivasa Ramanujan, 2021, pp 143-160 from Springer

Abstract: Abstract Ramanujan saw the Gauss summation theorem in Carr’s Synopsis and it remains a mystery till date as to how in one sweep of intuitive imagination he was able to arrive at the most general summation theorem with only a hint of the Gauss summation theorem (Eqs. 4.4 and 4.11 in Chap. 4 ) for a terminating hypergeometric series, viz. the 7 F 6(1) summation theorem (22) stated at the end of Chap. 4

Date: 2021
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DOI: 10.1007/978-981-16-0447-8_5

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