
doi: 10.1007/bf01596155
In this paper we examine the existence of polynomials orthogonal with respect to weight functions which are given by the product of a nonnegative (on the interval of orthogonality) function and a polynomial. In particular, we give some results when the polynomial factor is orthogonal with respect to the remaining (nonnegative) part of the weight function.
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Radau and Lobatto quadrature, indefinite inner product, Numerical quadrature and cubature formulas, orthogonal polynomials
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Radau and Lobatto quadrature, indefinite inner product, Numerical quadrature and cubature formulas, orthogonal polynomials
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