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arxiv: 1009.2594 · v1 · pith:X6BRQDPYnew · submitted 2010-09-14 · 🧮 math.CO

An 4n-point Interpolation Formula for Certain Polynomials

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keywords formulacertaininterpolationjacksonn-pointpolynomialscasesdeterminantal
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By using some techniques of the divided difference operators, we establish an 4n-point interpolation formula. Certain polynomials, such as Jackson's _8\phi_7 terminating summation formula, are special cases of this formula. Based on Krattenthaler's identity, we also give Jackson's formula a determinantal interpretation.

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