Raising type twisted Pieri formulas for Jack polynomials and their applications to interpolation Jack polynomials
Abstract
We propose new Pieri type formulas for Jack polynomials, which is another kind of Pieri type formulas than the ones in the previous paper (G. Shibukawa, arXiv:2004.12875). From these new Pieri type formulas, we give yet another proof of difference and Pieri formulas for interpolation Jack polynomials. Further, we also generalize a falling type twisted Pieri formula to the binomial type polynomials including Jack and multivariate Bernoulli polynomials.
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