Maclaurin series

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1: 4.33 Maclaurin Series and Laurent Series

§4.33 Maclaurin Series and Laurent Series

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2: 22.10 Maclaurin Series

§22.10 Maclaurin Series

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§22.10(i) Maclaurin Series in $z$

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§22.10(ii) Maclaurin Series in $k$ and $k^{\prime }$

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3: 9.4 Maclaurin Series

§9.4 Maclaurin Series

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4: 4.19 Maclaurin Series and Laurent Series

§4.19 Maclaurin Series and Laurent Series

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5: 5.7 Series Expansions

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§5.7(i) Maclaurin and Taylor Series

… ►For 20D numerical values of the coefficients of the Maclaurin series for $\mathrm{\Gamma }\left(z+3\right)$ see Luke (1969b, p. 299). …

6: 9.17 Methods of Computation

… ►Although the Maclaurin-series expansions of §§9.4 and 9.12(vi) converge for all finite values of $z$, they are cumbersome to use when $|z|$ is large owing to slowness of convergence and cancellation. …

7: 15.2 Definitions and Analytical Properties

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§15.2(i) Gauss Series

… ►In that case we are using interpretation (15.2.6) since with interpretation (15.2.5) we would obtain that $F(-m,b;-m;z)$ is equal to the first $m+1$ terms of the Maclaurin series for ${(1-z)}^{-b}$.

8: 9.12 Scorer Functions

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§9.12(vi) Maclaurin Series

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9: 11.10 Anger–Weber Functions

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§11.10(iii) Maclaurin Series

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10: 13.29 Methods of Computation

… ►Although the Maclaurin series expansion (13.2.2) converges for all finite values of $z$, it is cumbersome to use when $|z|$ is large owing to slowness of convergence and cancellation. …