generating functions

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21: 26.9 Integer Partitions: Restricted Number and Part Size

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§26.9(ii) Generating Functions

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22: 18.23 Hahn Class: Generating Functions

§18.23 Hahn Class: Generating Functions

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23: 26.10 Integer Partitions: Other Restrictions

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§26.10(ii) Generating Functions

… ►where the last right-hand side is the sum over $m\ge 0$ of the generating functions for partitions into distinct parts with largest part equal to $m$. …

24: 34.5 Basic Properties: $\mathit{6}j$ Symbol

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§34.5(v) Generating Functions

►For generating functions for the $\mathit{6}j$ symbol see Biedenharn and van Dam (1965, p. 255, eq. (4.18)). …

25: 27.6 Divisor Sums

… ►Generating functions, Euler products, and Möbius inversion are used to evaluate many sums extended over divisors. …

26: 26.18 Counting Techniques

… ►For further examples in the use of generating functions, see Stanley (1997, 1999) and Wilf (1994). …

27: 18.42 Software

… ►A more complete list of available software for computing these functions, and for generating formulas symbolically, is found in the Software Index. …

28: 26.12 Plane Partitions

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§26.12(ii) Generating Functions

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29: 27.5 Inversion Formulas

… ►Generating functions yield many relations connecting number-theoretic functions. …

30: 34.3 Basic Properties: $\mathit{3}j$ Symbol

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§34.3(v) Generating Functions

►For generating functions for the $\mathit{3}j$ symbol see Biedenharn and van Dam (1965, p. 245, Eq. (3.42) and p. 247, Eq. (3.55)). …