1. Statement

2. References

In mathematics the Watson quintuple product identity is an infinite product identity introduced by {{harvs|txt|authorlink=G. N. Watson|last=Watson|year=1929}} and rediscovered by {{harvtxt|Bailey|1951}} and {{harvtxt|Gordon|1961}}. It is analogous to the Jacobi triple product identity, and is the Macdonald identity for a certain non-reduced affine root system.

Statement

References

• {{Citation | last1=Bailey | first1=W. N. | title=On the simplification of some identities of the Rogers-Ramanujan type | doi=10.1112/plms/s3-1.1.217 | mr=0043839 | year=1951 | journal=Proceedings of the London Mathematical Society |series=Third Series | issn=0024-6115 | volume=1 | pages=217–221}}
• {{Citation | last1=Carlitz | first1=L. | author1-link=Leonard_Carlitz | last2=Subbarao | first2=M. V. | title=A simple proof of the quintuple product identity | jstor=2038301 | mr=0289316 | year=1972 | journal=Proceedings of the American Mathematical Society | issn=0002-9939 | volume=32 | pages=42–44 | doi=10.2307/2038301}}
• {{Citation | last1=Gordon | first1=Basil | author1-link=Basil Gordon | title=Some identities in combinatorial analysis | mr=0136551 | year=1961 | journal=The Quarterly Journal of Mathematics. Oxford. Second Series | issn=0033-5606 | volume=12 | pages=285–290 | doi=10.1093/qmath/12.1.285}}
• {{Citation | last1=Watson | first1=G. N. | title=Theorems stated by Ramanujan. VII: Theorems on continued fractions. | doi=10.1112/jlms/s1-4.1.39 | jfm=55.0273.01 | year=1929 | journal=Journal of the London Mathematical Society | issn=0024-6107 | volume=4 | issue=1 | pages=39–48}}

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