A Family of Sequences of Binomial Type
نویسندگان
چکیده
For a delta operator aD − bD we find the corresponding polynomial sequence of binomial type and relations with Fuss numbers. In the case of D − 1 2D 2 we show that the corresponding Bessel–Carlitz polynomials are moments of the convolution semigroup of inverse Gaussian distributions. We also find probability distributions νt, t > 0, for which {yn(t)}, the Bessel polynomials at t, is the moment sequence. 2000 AMS Mathematics Subject Classification: Primary: 05A40; Secondary: 60E07, 44A60.
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