Determinants of some special matrices

Let p(1), p(2),..., p(n) be distinct positive real numbers andmbe any integer. Every symmetric polynomial f (x, y) is an element of C[x, y] induces a symmetric matrix [f(p(i), p(j))] (n)(i,j=1). We obtain the determinants of such matrices with an aim to find the determinants of P-m = [(p(i) + p(j))(m)](i,j=1)(n) and B-2m = [(p(i) - p(j))(2m)](i,j=1)(n) form is an element of N (where N is the set of natural numbers) in terms of the Schur polynomials. Wealso discuss and compute determinant of the matrix K-m = [p(i)(m)+p(j)(m)/p(i)+p(j)](i,j=1)(n) for any integer m in terms of the Schur and skew-Schur polynomials.