A simple proof of Jacobi’s triple product identity

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Another simple proof of the quintuple product identity

The quintuple identity has a long history and, as Berndt [5] points out, it is difficult to assign priority to it. It seems that a proof of the identity was first published in H. A. Schwartz’s book in 1893 [19]. Watson gave a proof in 1929 in his work on the RogersRamanujan continued fractions [20]. Since then, various proofs have appeared. To name a few, Carlitz and Subbarao gave a simple proo...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1965

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1965-0171725-x