• Corpus ID: 238252962

Classical orthogonal polynomials revisited

  title={Classical orthogonal polynomials revisited},
  author={Kenier Castillo and J. Petronilho},
This manuscript contains a small portion of the algebraic theory of orthogonal polynomials developed by Maroni and their applicability to the study and characterization of the classical families, namely Hermite, Laguerre, Jacobi, and Bessel polynomials. It is presented a cyclical proof of some of the most relevant characterizations, particularly those due to Al-Salam and Chihara, Bochner, Hahn, Maroni, and McCarthy. Two apparently new characterizations are also added. Moreover, it is proved… 

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