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21: 27.14 Unrestricted Partitions

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§27.14(v) Divisibility Properties

►Ramanujan (1921) gives identities that imply divisibility properties of the partition function. …

22: 1.11 Zeros of Polynomials

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§1.11(i) Division Algorithm

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23: 18.25 Wilson Class: Definitions

… ►For the Wilson class OP’s $p_n(x)$ with $x=\lambda (y)$: if the $y$-orthogonality set is $\{0,1,\mathrm{\dots },N\}$, then the role of the differentiation operator $d/dx$ in the Jacobi, Laguerre, and Hermite cases is played by the operator ${\mathrm{\Delta }}_y$ followed by division by ${\mathrm{\Delta }}_y(\lambda (y))$, or by the operator ${\nabla }_y$ followed by division by ${\nabla }_y(\lambda (y))$. Alternatively if the $y$-orthogonality interval is $(0,\mathrm{\infty })$, then the role of $d/dx$ is played by the operator ${\delta }_y$ followed by division by ${\delta }_y(\lambda (y))$. …

24: 22.10 Maclaurin Series

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25: 27.2 Functions

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Table 27.2.2: Functions related to division.

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$n$	$\varphi \left(n\right)$	$d\left(n\right)$	$\sigma \left(n\right)$	$n$	$\varphi \left(n\right)$	$d\left(n\right)$	$\sigma \left(n\right)$	$n$	$\varphi \left(n\right)$	$d\left(n\right)$	$\sigma \left(n\right)$	$n$	$\varphi \left(n\right)$	$d\left(n\right)$	$\sigma \left(n\right)$
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26: 3.1 Arithmetics and Error Measures

… ►Division is possible only if the divisor interval does not contain zero. …

27: 3.10 Continued Fractions

… ►To compute the $C_n$ of (3.10.2) we perform the iterated divisions …

28: DLMF Project News

error generating summary

29: 2.1 Definitions and Elementary Properties

… ►These include addition, subtraction, multiplication, and division. …

30: Bibliography P

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Tables of the Incomplete Elliptic Integrals of the First and Third Kind. Technical report Curtiss-Wright Corp., Research Division, Quehanna, PA.

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Notes:

Reviewed in Math. Comp. 14(1960)209-210.

Referenced by:

§19.37(iii).

Encodings:

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