Hermite-Sobolev and closely connected orthogonal polynomials

In this paper a bilinear functional a(ƒ, g)∑m=oNλmc(m)(ƒ(m), g(m) which corresponds to the Hermite-Sobolev and closely connected orthogonal polynomials is studied. The domain of {λm}m=1N in which a is positive definite is given and the Hermite-Sobolev and closely connected formal orthogonal polynomials are given in the nonnormal case.