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单词 Quintuple Product Identity
释义

Quintuple Product Identity

A.k.a. the Watson Quintuple Product Identity.

(1)
It can also be written

(2)
or

(3)
Using the Notation of the Ramanujan Theta Function (Berndt, p. 83),


(4)

See also Jacobi Triple Product, Ramanujan Theta Functions


References

Berndt, B. C. Ramanujan's Notebooks, Part III. New York: Springer-Verlag, 1985.

Borwein, J. M. and Borwein, P. B. Pi & the AGM: A Study in Analytic Number Theory and Computational Complexity. New York: Wiley, pp. 306-309, 1987.

Gasper, G. and Rahman, M. Basic Hypergeometric Series. Cambridge, England: Cambridge University Press, 1990.


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