31 citations · 44 across the 4 of their papers we have counts for
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Zimmermann Type Cancellation in the Free Faa di Bruno Algebra
Michael Anshelevich, Edward G. Effros, Mihai Popa
The N-variable Hopf algebra introduced by Brouder, Fabretti, and Krattenaler (BFK) in the context of non-commutative Lagrange inversion can be identified with the inverse of the in…
Appell polynomials and their relatives
Michael Anshelevich
This paper summarizes some known results about Appell polynomials and investigates their various analogs. The primary of these are the free Appell polynomials. In the multivariate…
Linearization coefficients for orthogonal polynomials using stochastic processes
Michael Anshelevich
Given a basis for a polynomial ring, the coefficients in the expansion of a product of some of its elements in terms of this basis are called linearization coefficients. These coef…
Free martingale polynomials
Michael Anshelevich
In this paper we investigate the properties of the free Sheffer systems, which are certain families of martingale polynomials with respect to the free Levy processes. First, we cla…