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21: 23.2 Definitions and Periodic Properties

… ►The double series and double product are absolutely and uniformly convergent in compact sets in $ℂ$ that do not include lattice points. …

22: 28.4 Fourier Series

… ►The Fourier series of the periodic Mathieu functions converge absolutely and uniformly on all compact sets in the $z$-plane. …

23: 28.24 Expansions in Series of Cross-Products of Bessel Functions or Modified Bessel Functions

… ►The expansions (28.24.1)–(28.24.13) converge absolutely and uniformly on compact sets of the $z$-plane. …

24: Bibliography B

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New “coherent” states associated with non-compact groups. Comm. Math. Phys. 21 (1), pp. 41–55.

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External Links:

ISSN 0010-3616, MathReview (R. Mirman), ZentralBlatt

Referenced by:

§13.28(iii).

Encodings:

BibTeX

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25: Bibliography C

… ►

A compact mathematical function package. Australian Computer Journal 16 (3), pp. 107–114.

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Notes:

Includes Pascal function evaluation package

External Links:

ISSN 0004-8917, ZentralBlatt

Referenced by:

§16.27(ii).

Encodings:

BibTeX

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26: 10.43 Integrals

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$g(x)$ is piecewise continuous and of bounded variation on every compact interval in $(0,\mathrm{\infty })$, and each of the following integrals

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27: 18.35 Pollaczek Polynomials

… ►This expansion is in terms of the Airy function $\mathrm{Ai}\left(x\right)$ and its derivative (§9.2), and is uniform in any compact $\theta$-interval in $(0,\mathrm{\infty })$. …

28: 28.2 Definitions and Basic Properties

… ►converges absolutely and uniformly in compact subsets of $ℂ$. …

29: 1.14 Integral Transforms

… ►If the integral converges, then it converges uniformly in any compact domain in the complex $s$-plane not containing any point of the interval $(-\mathrm{\infty },0]$. …

30: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions

… ►For $𝒟(T)$ we can take $C^2(X)$, with appropriate boundary conditions, and with compact support if $X$ is bounded, which space is dense in $L^2\left(X\right)$, and for $X$ unbounded require that possible non-$L^2$ eigenfunctions of (1.18.28), with real eigenvalues, are non-zero but bounded on open intervals, including $\pm \mathrm{\infty }$. …