Jorge Alberto Borrego-Morell

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Let μ be a finite positive Borel measure supported on R, L[ f ] = x f ′′ + (α + 1 − x) f ′ with α > −1, or L[ f ] = 2 f ′′ − x f , and m a natural number. We study algebraic, analytic and asymptotic properties of the sequence of monic polynomials {Qn}n>m that satisfy the orthogonality relations  L[Qn](x)xdμ(x) = 0 for all 0 ≤ k ≤ n − 1. We also provide a(More)
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