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Moments of Orthogonal Polynomials and Exponential Generating Functions

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 نشر من قبل Jiang Zeng
 تاريخ النشر 2021
  مجال البحث
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Starting from the moment sequences of classical orthogonal polynomials we derive the orthogonality purely algebraically. We consider also the moments of ($q=1$) classical orthogonal polynomials, and study those cases in which the exponential generating function has a nice form. In the opposite direction, we show that the generalized Dumont-Foata polynomials with six parameters are the moments of rescaled continuous dual Hahn polynomials.



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