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arxiv: math/0512571 · v2 · pith:QQYWEJJVnew · submitted 2005-12-26 · 🧮 math.CO

Short Proofs of Summation and Transformation Formulas for Basic Hypergeometric Series

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keywords basicformulashypergeometricidentityproductprovedseriessummation
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We show that several terminating summation and transformation formulas for basic hypergeometric series can be proved in a straightforward way. Along the same line, new finite forms of Jacobi's triple product identity and Watson's quintuple product identity are also proved.

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