Define the integral form Jλ(x;q,t) of these Macdonald polynomials as Jλ(x;q,t)=hλ(q,t)Pλ(x;q,t)=h′λ(q,t)Qλ(x;q,t) with \[h_{\lambda}(q...Define the integral form Jλ(x;q,t) of these Macdonald polynomials as Jλ(x;q,t)=hλ(q,t)Pλ(x;q,t)=h′λ(q,t)Qλ(x;q,t) with hλ(q,t)=∏s∈λ(1−qaλ(s)tlμ(s)+1),h′λ(q,t)=∏s∈λ1−qaλ(s)+1tlμ(s) where, for a cell s∈λ, aλ(s) and lλ(s) represent respectively the arm and leg of s in λ, …