An 4n-point Interpolation Formula for Certain Polynomials

preprint2010arXivOpen access

Abstract

By using some techniques of the divided difference operators, we establish an 4n-point interpolation formula. Certain polynomials, such as Jackson's _8ϕ_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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