hypergeometric representations

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11: 16.5 Integral Representations and Integrals

§16.5 Integral Representations and Integrals

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12: 15.17 Mathematical Applications

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§15.17(iii) Group Representations

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13: 14.5 Special Values

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14: 13.27 Mathematical Applications

… ►Confluent hypergeometric functions are connected with representations of the group of third-order triangular matrices. …

15: Bibliography C

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Gauss hypergeometric representations of the Ferrers function of the second kind. SIGMA Symmetry Integrability Geom. Methods Appl. 17, pp. Paper 053, 33.

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External Links:

Document, Link, MathReview Entry, ZentralBlatt

Referenced by:

(14.13.2), §14.3(iii), §14.3(iii).

Encodings:

BibTeX

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16: 8.10 Inequalities

… ►For hypergeometric polynomial representations of $A_n$ and $B_n$, see Luke (1969b, §14.6). …

17: 19.16 Definitions

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§19.16(ii) $R_{-a}(𝐛;𝐳)$

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18: 15.9 Relations to Other Functions

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§15.9(i) Orthogonal Polynomials

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Jacobi

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Legendre

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Meixner

… ►This is a generalization of Jacobi polynomials (§18.3) and has the representation …

19: 34.2 Definition: $\mathit{3}j$ Symbol

… ►where ${}_3{}^{}F_2^{}$ is defined as in §16.2. …

20: 34.4 Definition: $\mathit{6}j$ Symbol

… ►where ${}_4{}^{}F_3^{}$ is defined as in §16.2. …