Bannai–Ito polynomials

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1: Bibliography T

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Dunkl shift operators and Bannai-Ito polynomials. Adv. Math. 229 (4), pp. 2123–2158.

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External Links:

ISSN 0001-8708, Link, MathReview (Juan José Moreno-Balcázar), ZentralBlatt

Referenced by:

§18.28(xi).

Encodings:

BibTeX

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2: 18.28 Askey–Wilson Class

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§18.28(xi) Limits for $q\downarrow -1$

►Bannai and Ito (1984) introduced OP’s, called the Bannai–Ito polynomials which are the limit for $q\downarrow -1$ of the $q$-Racah polynomials. …In Tsujimoto et al. (2012) an extension of the Bannai–Ito polynomials occurs as eigenfunctions of a Dunkl type operator. …

3: Bibliography G

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The non-symmetric Wilson polynomials are the Bannai-Ito polynomials. Proc. Amer. Math. Soc. 144 (12), pp. 5217–5226.

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External Links:

ISSN 0002-9939, Link, MathReview (Raj Wilson), ZentralBlatt

Referenced by:

§18.28(xi).

Encodings:

BibTeX

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4: Bibliography B

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The generating function of Jacobi polynomials. J. London Math. Soc. 13, pp. 8–12.

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External Links:

ISSN 0024-6107; 1469-7750/e, Document, ZentralBlatt

Referenced by:

§18.18(vii).

Encodings:

BibTeX

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Algebraic Combinatorics. I: Association Schemes. The Benjamin/Cummings Publishing Co., Inc., Menlo Park, CA.

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External Links:

ISBN 0-8053-0490-8, MathReview Entry, ZentralBlatt

Referenced by:

§18.28(xi).

Encodings:

BibTeX

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Orthogonal Polynomials in Coding Theory and Algebraic Combinatorics. In Orthogonal Polynomials (Columbus, OH, 1989), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Vol. 294, pp. 25–53.

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External Links:

MathReview, ZentralBlatt

Referenced by:

§18.38(iii).

Encodings:

BibTeX

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A generalisation of the Legendre polynomial. Proc. London Math. Soc. (2) 3 (3), pp. 111–123.

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Notes:

Reviewed in JFM 36.0512.01

External Links:

Document, ZentralBlatt

Referenced by:

§18.12.

Encodings:

BibTeX

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Polynomials defined by a difference system. J. Math. Anal. Appl. 2 (2), pp. 223–263.

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External Links:

Document, MathReview (F. L. Spitzer), ZentralBlatt

Referenced by:

§18.33(v).

Encodings:

BibTeX

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