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09 February 2025
 
  » arxiv » 1508.0138

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A family of sequences of binomial type
Wojciech Młotkowski ; Anna Romanowicz ;
Date 1 Aug 2015
AbstractFor 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
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