Methods of constructing generalized polynomial-type moment representations

Algebraic polynomials that occur in the generalized moment representation of a specified number sequence are found in the form of linear combinations of orthogonal polynomials. The coefficients of these linear combinations are computed from a system of algebraic equations and the polynomials that are found satisfy integral and differential equations.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 7, pp. 995–997, July, 1992.