An 4n-point Interpolation Formula for Certain Polynomials

2010/09/14 by Sandy H. L. Chen, Chen, Sandy H. L., Amy M. Fu +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1009.2594

11pages

arxiv created 2010/09/14 · arxiv updated 2010/09/15

Abstract

By using some techniques of the divided difference operators, we establish an 4n-point interpolation formula. Certain polynomials, such as Jackson's ₈ϕ₇ 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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