n] = n; the corresponding polynomials are Charlier polynomials (with a = 1) .
k](n) would give the corresponding interpolation between shifted Chebyshev and Charlier polynomials.
x - n + 1) [sigma] (X) = 1 translated Charlier polynomials [sigma] (x) = x falling factorials, Charlier, Meixner, Krawtchouk polynomials deg([sigma](x), x) = 2 Hahn polynomials
For example, let's consider the Charlier polynomials and their associated.
The fourth order difference operator of the rth associated Charlier polynomials is given by
SUSLOV, The q-harmonic oscillator and an analogue of the Charlier polynomials
In section 3 the factorization of the hypergeometric-type difference equation is discussed, which is used in section 4 to construct a dynamical symmetry algebra in the case of the Charlier polynomials.
For the hamiltonian, associated with the Charlier polynomials,
Using the preceding formulas for the Charlier polynomials, one finds
From the generating function of the Charlier polynomials we have:
WONG, Uniform asymptotic expansion of Charlier polynomials, Methods Appl.
The theory developed here may be extended to the case: any polynomial [right arrow] Charlier polynomial .