31 citations · 96 across the 8 of their papers we have counts for
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math.OA2007★ 29 cited
Appell polynomials and their relatives II. Boolean theory
Michael Anshelevich
The Appell-type polynomial family corresponding to the simplest non-commutative derivative operator turns out to be connected with the Boolean probability theory, the simplest of t…
math.CO2007★ 19 cited
Free Meixner states
Michael Anshelevich
Free Meixner states are a class of functionals on non-commutative polynomials introduced in math.CO/0410482. They are characterized by a resolvent-type form for the generating func…
math.CO2007★ 4 cited
Monic non-commutative orthogonal polynomials
Michael Anshelevich
Among all states on the algebra of non-commutative polynomials, we characterize the ones that have monic orthogonal polynomials. The characterizations involve recursion relations,…