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ABSTRACT Let be a non-zero linear functional acting on the space of polynomials. Let be a Hahn operator acting on the dual space of polynomials. Suppose that there exist polynomials… Click to show full abstract
ABSTRACT Let be a non-zero linear functional acting on the space of polynomials. Let be a Hahn operator acting on the dual space of polynomials. Suppose that there exist polynomials φ and ψ, with and , so that the functional equation holds, where the involved operations are defined in a distributional sense. In this note we state necessary and sufficient conditions, involving only the coefficients of φ and ψ, such that is regular, that is, there exists a sequence of orthogonal polynomials with respect to.
Keywords:
hahn operator;
related hahn;
orthogonal polynomials;
polynomials related;
classical orthogonal
Journal Title: Integral Transforms and Special Functions
Year Published: 2019
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Journal Title: Integral Transforms and Special Functions
Year Published: 2019
Link to full text (if available)
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recommendations!