as Sheffer polynomials

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1: 18.2 General Orthogonal Polynomials

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Sheffer Polynomials

… ►If $v(s)$ is the formal power series such that $v(u(t))=t$ then a property equivalent to (18.2.45) with $c_n=1$ is that … … ►In fact, these are the only OP’s which are Sheffer polynomials (with Krawtchouk polynomials being only a finite system) … ►For other examples of Sheffer polynomials, not in DLMF, see Roman (1984). …

2: Bibliography Z

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Weighted derangements and the linearization coefficients of orthogonal Sheffer polynomials. Proc. London Math. Soc. (3) 65 (1), pp. 1–22.

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External Links:

ISSN 0024-6115, Document, Link, MathReview (R. A. Askey), ZentralBlatt

Referenced by:

§18.18(v).

Encodings:

BibTeX

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3: Bibliography S

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Some properties of polynomial sets of type zero. Duke Math. J. 5, pp. 590–622.

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External Links:

ISSN 0012-7094, Link, MathReview (A. Erdélyi), ZentralBlatt

Referenced by:

§18.2(xii).

Encodings:

BibTeX

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On an inequality of P. Turán concerning Legendre polynomials. Bull. Amer. Math. Soc. 54, pp. 401–405.

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External Links:

ISSN 0002-9904, FullText, MathReview (I. M. Sheffer), ZentralBlatt

Referenced by:

§18.14(ii).

Encodings:

BibTeX

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