partition function
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21: 17.16 Mathematical Applications
§17.16 Mathematical Applications
►Many special cases of -series arise in the theory of partitions, a topic treated in §§27.14(i) and 26.9. …22: 26.19 Mathematical Applications
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►Partitions and plane partitions have applications to representation theory (Bressoud (1999), Macdonald (1995), and Sagan (2001)) and to special functions (Andrews et al. (1999) and Gasper and Rahman (2004)).
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23: 35.4 Partitions and Zonal Polynomials
24: 26.4 Lattice Paths: Multinomial Coefficients and Set Partitions
§26.4 Lattice Paths: Multinomial Coefficients and Set Partitions
… ►Table 26.4.1 gives numerical values of multinomials and partitions for . … is a partition of : … is the number of set partitions of with subsets of size 1, subsets of size 2, , and subsets of size : … ►§26.4(ii) Generating Function
…25: 35.6 Confluent Hypergeometric Functions of Matrix Argument
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35.6.1
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26: 35.8 Generalized Hypergeometric Functions of Matrix Argument
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35.8.1
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27: 35.5 Bessel Functions of Matrix Argument
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35.5.2
, .
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28: Bibliography W
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Evaluating elliptic functions and their inverses.
Comput. Math. Appl. 39 (3-4), pp. 131–136.
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Infinitely differentiable generalized logarithmic and exponential functions.
Math. Comp. 57 (196), pp. 723–733.
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Reduction formulae for products of theta functions.
J. Res. Nat. Inst. Standards and Technology 117, pp. 297–303.
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The cubic transformation of the hypergeometric function.
Quart. J. Pure and Applied Math. 41, pp. 70–79.
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Two tables of partitions.
Proc. London Math. Soc. (2) 42, pp. 550–556.
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29: Bibliography Y
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Tables of Airy Functions and Their Derivatives.
Izdat. Nauka, Moscow (Russian).
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Generalized Hypergeometric Functions and Laguerre Polynomials in Two Variables.
In Hypergeometric Functions on Domains of Positivity, Jack
Polynomials, and Applications (Tampa, FL, 1991),
Contemporary Mathematics, Vol. 138, pp. 239–259.
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Partitions with difference conditions and Alder’s conjecture.
Proc. Natl. Acad. Sci. USA 101 (47), pp. 16417–16418.
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The calculation of the Riemann zeta function in the complex domain.
USSR Comput. Math. and Math. Phys. 25 (2), pp. 111–119.
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Bessel Functions. Part IV: Kelvin Functions.
Royal Society Mathematical Tables, Volume 10, Cambridge University Press, Cambridge-New York.
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30: 35.7 Gaussian Hypergeometric Function of Matrix Argument
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35.7.1
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