English

An 4n-point Interpolation Formula for Certain Polynomials

Combinatorics 2010-09-15 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1009.2594,
  title  = {An 4n-point Interpolation Formula for Certain Polynomials},
  author = {Sandy H. L. Chen and Amy M. Fu},
  journal= {arXiv preprint arXiv:1009.2594},
  year   = {2010}
}

Comments

11pages

R2 v1 2026-06-21T16:13:34.837Z