Geodesic
New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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We present new Pieri type formulas for Jack polynomials. As an application, we give a new derivation of higher order difference equations for interpolation Jack polynomials originally found by Knop and Sahi. We also propose Pieri formulas for interpolation Jack polynomials and intertwining relations for a kernel function for Jack polynomials.
Keywords: Jack polynomial, Pieri formula, kernel function.
Mots-clés : interpolation Jack polynomial 
@article{SIGMA_2020_16_a117,
     author = {Genki Shibukawa},
     title = {New {Pieri} {Type} {Formulas} for {Jack} {Polynomials} and their {Applications} to {Interpolation} {Jack} {Polynomials}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2020},
     volume = {16},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a117/}
}
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Genki Shibukawa. New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a117/

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