... Lapointe and P Mathieu, Orthogonality of Jack polynomials in superspace, Adv Math 212, 361–388 (2007) [4] F Knop and S Sahi, A recursion and a combinatorial formula for the Jack polynomials, Invent ... [k],+ The first equality comes from Lemma 12, the second by induction on i for ∆j,i−1 and by [k−1],+ [k+1] the induction hypothesis for ∆j−1,i−1 We then recognize Pj,i on the right hand side thanks ... definition of the Jack polynomials in superspace involving non-symmetric Jack polynomials will be given in Section 2.3 The main point of this article is to prove a conjecture, stated in [3], giving an...