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Article overview
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A family of sequences of binomial type | Wojciech Młotkowski
; Anna Romanowicz
; | Date: |
1 Aug 2015 | Abstract: | For delta operator $aD-bD^{p+1}$ we find the corresponding polynomial
sequence of binomial type and relations with Fuss numbers. In the case
$D-frac{1}{2}D^2$ we show that the corresponding Bessel-Carlitz polynomials
are moments of the convolution semigroup of inverse Gaussian distributions. We
also find probability distributions $
u_{t}$, $t>0$, for which
$left{y_{n}(t)
ight}$, the Bessel polynomials at $t$, is the moment
sequence. | Source: | arXiv, 1508.0138 | Services: | Forum | Review | PDF | Favorites |
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