Appell Polynomials and Their Relatives

  title={Appell Polynomials and Their Relatives},
  author={Michael Anshelevich},
This paper summarizes some known results about Appell poly nomials and investigates their various analogs. The primary of these are the free Appe ll olynomials. In the multivariate case, they can be considered as natural analogs of the Appell polynomials when polynomials in noncommuting variables are considered. They also fit well into t he framework of free probability. For the free Appell polynomials, a number of combinatorial and “ diagram” formulas are proven, such as the formulas for their… CONTINUE READING
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