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A New Form Of The Quintuple Product Identity And Its Application

FILOMAT(2017)

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摘要
We give a new form of the quintuple product identity. As a direct application of this new form a simple proof of known identities of Ramanujan and also new identities for other well known continued fractions are given. We also give and prove a general identity for (q(3m); q(3m))infinity.
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关键词
q-Hypergeometric Series, Quintuple Product Identity, Continued Fraction
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