Abstract
We show that the d-orthogonal Charlier and Hermite polynomials appear naturally as matrix elements of nonunitary transformations corresponding to automorphisms of the Heisenberg–Weyl (oscillator) algebra. Basic properties (duality, recurrence, and difference equations) of the d-orthogonal Charlier polynomials can be derived directly from representations of the Heisenberg–Weyl algebra.
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