Questions tagged [combinatorial-proofs]
Combinatorial proofs include, for example, proofs using double counting or bijective proofs.
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Expansion in Schur function of negative binomial exponent
I want to know if there exist a known expansion or can be derived of the polynomial
$$ \prod_{i=1}^{m}\prod_{j= 1}^{n}(1-z(x_i + y_i))^{-w} \tag{*}$$
in terms of Schur function. That is asking for (*) ...