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I have some questions regarding Jack polynomials. I use the notation of of I.G. Macdonald's book "Symmetric Functions and Hall polynomials". Let $\Lambda$ be the ring of symmetric functions over $\...

For Jack polynomials $J_\lambda^\alpha(x_1,x_2,...,x_n)$ there exists i.e. the following relation $$\sum_\lambda J_\lambda^\alpha(x_1,x_2,...,x_n)J_{\lambda'}^{\frac{1}{\alpha}}(y_1,y_2,...,y_m)=\...