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1: 22.19 Physical Applications

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§22.19(iv) Tops

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2: 16.2 Definition and Analytic Properties

… ►Suppose first one or more of the top parameters $a_j$ is a nonpositive integer. … ►However, when one or more of the top parameters $a_j$ is a nonpositive integer the series terminates and the generalized hypergeometric function is a polynomial in $z$. …

3: 18.40 Methods of Computation

… ►The bottom and top of the steps at the $x_i$ are lower and upper bounds to ${\int }_a^{x_i}d\mu (x)$ as made explicit via the Chebyshev inequalities discussed by Shohat and Tamarkin (1970, pp. 42–43). …

4: Bibliography

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Spinning Tops: A Course on Integrable Systems. Cambridge Studies in Advanced Mathematics, Vol. 51, Cambridge University Press, Cambridge.

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External Links:

ISBN 0-521-56129-9; 0-521-77919-7, MathReview (Emma Previato), ZentralBlatt

Referenced by:

§22.19(iv).

Encodings:

BibTeX

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5: 16.4 Argument Unity

… ►The last condition is equivalent to the sum of the top parameters plus $2$ equals the sum of the bottom parameters, that is, the series is 2-balanced. …

6: 18.27 $q$-Hahn Class

… ►The generic (top level) cases are the $q$-Hahn polynomials and the big $q$-Jacobi polynomials, each of which depends on three further parameters. …