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- W2962679231 abstract "We consider umbral “classical” orthogonal polynomials with respect to a generalized derivative operator D which acts on monomials as Dxn=μnxn−1 with some coefficients μn. Let Pn(x) be a set of orthogonal polynomials. Define the new polynomials Qn(x)=μn+1−1DPn+1(x). We find necessary and sufficient conditions when the polynomials Qn(x) will also be orthogonal. Apart from well known examples of the classical orthogonal polynomials we present a new example of umbral classical polynomials expressed in terms of elliptic functions." @default.
- W2962679231 created "2019-07-30" @default.
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- W2962679231 date "2014-12-01" @default.
- W2962679231 modified "2023-09-30" @default.
- W2962679231 title "Umbral “classical” polynomials" @default.
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- W2962679231 doi "https://doi.org/10.1016/j.jmaa.2014.06.002" @default.
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