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scholarly journals New Pieri Type Formulas for Jack Polynomials and their Applications to Interpolation Jack Polynomials

2020 ◽  
Author(s):  
Genki Shibukawa ◽  
Keyword(s):  
Kernel Function ◽  
Difference Equations ◽  
Higher Order ◽  
Jack Polynomials ◽  
Order Difference ◽  
Pieri Formulas

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.

scholarly journals Pieri formulas for Macdonald’s spherical functions and polynomials

2010 ◽  
Vol 269 (1-2) ◽  
pp. 281-292 ◽  
Author(s):  
J. F. van Diejen ◽  
E. Emsiz
Keyword(s):  
Spherical Functions ◽  
Pieri Formulas

Difference Equations and Pieri Formulas for G 2 Type Macdonald Polynomials and Integrability

2008 ◽  
Vol 86 (2-3) ◽  
pp. 229-248 ◽  
Author(s):  
Jan Felipe van Diejen ◽  
Masahiko Ito
Keyword(s):  
Difference Equations ◽  
Macdonald Polynomials ◽  
Pieri Formulas
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