Proof of the (α,β)--inversion formula conjectured by Hsu and Ma
Abstract
In light of the well-known fact that the nth divided difference of any polynomial of degree m must be zero while m<n,the present paper proves the (α,β)-inversion formula conjectured by Hsu and Ma [J. Math. Res. \& Exposition 25(4) (2005) 624]. As applications of (α,β)-inversion, we not only recover some known matrix inversions due to Gasper, Schlosser, and Warnaar, but also fin three new matrix inversions related to elliptic divisibility sequence and theta functions.
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