A Note on Discrete Classical Orthogonal Polynomials


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Authors: B. ALOUI, J. SOUISSI AND W. CHAMMAM

DOI: 10.46793/KgJMat2606.931A

Abstract:

We introduce the concept of Dw,p-classical orthogonal polynomials, where Dw,p is the lowering operator given by Dw,p := τ−w−τ−p
  w−p, w,p , with τwf(x) := f(x + w). We conclude that these polynomials are the shifted discrete classical orthogonal polynomials.



Keywords:

Orthogonal polynomials, linear functionals, lowering operator.



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