
Abstract : Orthogonal polynomials satisfy a three term recurrence relation. The purpose of the paper is to give estimates for the orthogonal polynomials and the corresponding weight function provided that the coefficients in the recurrence formula behave in a prescribed manner. (Author)
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Mathematics(all), Numerical Analysis, Applied Mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, orthogonal polynomials, Analysis
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Mathematics(all), Numerical Analysis, Applied Mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, orthogonal polynomials, Analysis
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