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math.OA2010★ 4 cited
The free Meixner class for pairs of measures
Michael Anshelevich, Wojciech Młotkowski
We investigate in more detail the two-state free convolution semigroups of pairs of measures whose Jacobi parameters are linear in the convolution parameter . These semigroups w…
math.CO2010★ 5 cited
Semigroups of distributions with linear Jacobi parameters
Michael Anshelevich, Wojciech Młotkowski
We show that a convolution semigroup of measures has Jacobi parameters polynomial in the convolution parameter if and only if the measures come from the Meixner class. Moreover…