Symmetric Measures and Associated Orthogonal Polynomials Obtained from Modified Positive Chain Sequences
Resumen
Given a nontrivial positive measure φ (i.e., a Borel measure with infinite support), we say that {Pn (x)}∞ n=0 is the sequence of monic orthogonal polynomials on the real line (MOPRL, in short) associated with φ, if Pn (x) is a monic polynomial of degree n satisfying xj Pn (x)dφ(x) = δn,j ρn , 0 ≤ j ≤ n, (1) R where δn,j is the Kronecker delta and ρn ̸= 0 for n ≥ 0. [...]
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