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11: 18.23 Hahn Class: Generating Functions

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12: 19.19 Taylor and Related Series

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13: 20.11 Generalizations and Analogs

… ►As in §20.11(ii), the modulus $k$ of elliptic integrals (§19.2(ii)), Jacobian elliptic functions (§22.2), and Weierstrass elliptic functions (§23.6(ii)) can be expanded in $q$-series via (20.9.1). …

14: 1.3 Determinants, Linear Operators, and Spectral Expansions

… ►An $n$th-order determinant expanded by its $j$th row is given by … ►Assuming $\{{𝐚}_i\}$ is an orthonormal basis in ${𝐄}_n$, any vector $𝐮$ may be expanded as …

15: 2.11 Remainder Terms; Stokes Phenomenon

… ►We now increase substantially the accuracy of (2.11.6) in $|\mathrm{ph}z|\le \pi$ by re-expanding the remainder term. … ►and expand … ►The process just used is equivalent to re-expanding the remainder term of the original asymptotic series (2.11.24) in powers of $1/(x+5)$ and truncating the new series optimally. …

16: Bibliography H

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Formulae for growth factors in expanding universes containing matter and a cosmological constant. Monthly Notices Roy. Astronom. Soc. 322 (2), pp. 419–425.

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§8.24(ii).

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17: 2.9 Difference Equations

… ►Often $f(n)$ and $g(n)$ can be expanded in series …

18: 3.1 Arithmetics and Error Measures

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19: 19.28 Integrals of Elliptic Integrals

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20: 31.11 Expansions in Series of Hypergeometric Functions

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