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On a generalization of binomial coefficients - MaRDI portal

On a generalization of binomial coefficients (Q1883662)

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On a generalization of binomial coefficients
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    On a generalization of binomial coefficients (English)
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    13 October 2004
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    Summary: We prove a recent conjecture of Lasalle about positivity and integrality of coefficients in some polynomial expansions. We also give a combinatorial interpretation of those numbers. Finally, we show that this question is closely related to the fundamental problem of calculating the linearization coefficients for binomial coefficients.
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    calculus of finite differences
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    conjecture of Lasalle
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    linearization coefficients for binomial coefficients
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