Note on some determinants of q-binomial
β
K.V Menon
π
Article
π
1986
π
Elsevier Science
π
English
β 160 KB
Let a(x)= E~ (-1)"a,,x n and b(x)= ~ b,,x" be two elements in the ring of formal power series such that a(x). b(x)= 1. If ()-l,)-z,...,)tp) and (~I, Z~,..., 2q) are conjugate partitions, we prove that det(axi\_i+j)= det(bx;\_i+j). Using this result we evaluate a determinant whose elements are q-bino