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most citedElementary derivations of summations and transformation formulas for q-series

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math.CA2014★ 1 cited

The Sums of a Double Hypergeometric Series and of the First m+1 Terms of 3F2(a,b,c;(a+b+1)/2,2c;1) when c = -m is a Negative Integer

Charles F. Dunkl, George Gasper

A summation formula is derived for the sum of the first m+1 terms of the 3F2(a,b,c;(a+b+1)/2,2c;1) series when c = -m is a negative integer. This summation formula is used to deriv…