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A NOTE ON DISCRETE CLASSICAL ORTHOGONAL POLYNOMIALS
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DOI：10.46793/KgJMat2606.931A.png)
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Abstract
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We introduce the concept of D-w,D-p-classical orthogonal polynomials, where D-w,D-p is the lowering operator given by D-w,D-p := tau-w-tau-p/w-p, w,p is an element of C, with tau(-w)f(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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