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Orthogonality measure for subsequences of Hermite polynomials - MaRDI portal

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Orthogonality measure for subsequences of Hermite polynomials (Q2757042)

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scientific article; zbMATH DE number 1675696
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English
Orthogonality measure for subsequences of Hermite polynomials
scientific article; zbMATH DE number 1675696

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    17 December 2002
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    Hermite polynomials
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    Orthogonality measure for subsequences of Hermite polynomials (English)
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    Let \(\{H_n\}_{n=1}^\infty\) be the sequence of classical Hermite polynomials where NEWLINE\[NEWLINEH_n(x)= (-1)^n\exp (x^2/2){d^n \over dx^n}\exp (x^2 /2).NEWLINE\]NEWLINE The author characterizes the orthogonality measure \(\mu\) for special subsequences \(\{H_{n_k}\}^\infty_{k=1}\) in terms of a finite number of the moments of \(\mu\).
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