q-binomial%20theorem
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1: 17.5 Functions
2: 26.9 Integer Partitions: Restricted Number and Part Size
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26.9.4
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►is the Gaussian polynomial (or -binomial coefficient); see also §§17.2(i)–17.2(ii).
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26.9.5
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26.9.6
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26.9.7
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3: 17.2 Calculus
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§17.2(ii) Binomial Coefficients
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17.2.27
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17.2.28
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§17.2(iii) Binomial Theorem
… ►When , where is a nonnegative integer, (17.2.37) reduces to the -binomial series …4: 26.10 Integer Partitions: Other Restrictions
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Table 26.10.1: Partitions restricted by difference conditions, or equivalently with parts from .
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26.10.3
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5: Bibliography K
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Algorithm 737: INTLIB: A portable Fortran 77 interval standard-function library.
ACM Trans. Math. Software 20 (4), pp. 447–459.
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Methods of computing the Riemann zeta-function and some generalizations of it.
USSR Comput. Math. and Math. Phys. 20 (6), pp. 212–230.
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A general addition theorem for spheroidal wave functions.
SIAM J. Math. Anal. 4 (1), pp. 149–160.
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A new proof of a Paley-Wiener type theorem for the Jacobi transform.
Ark. Mat. 13, pp. 145–159.
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HYP and HYPQ. Mathematica packages for the manipulation of binomial sums and hypergeometric series respectively -binomial sums and basic hypergeometric series.
Séminaire Lotharingien de Combinatoire 30, pp. 61–76.
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6: 17.3 -Elementary and -Special Functions
7: 26.16 Multiset Permutations
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26.16.1
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