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1: 4.33 Maclaurin Series and Laurent Series
§4.33 Maclaurin Series and Laurent Series
2: 22.10 Maclaurin Series
§22.10 Maclaurin Series
§22.10(i) Maclaurin Series in z
§22.10(ii) Maclaurin Series in k and k
3: 9.4 Maclaurin Series
§9.4 Maclaurin Series
4: 4.19 Maclaurin Series and Laurent Series
§4.19 Maclaurin Series and Laurent Series
5: 5.7 Series Expansions
§5.7(i) Maclaurin and Taylor Series
For 20D numerical values of the coefficients of the Maclaurin series for Γ ( z + 3 ) 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
§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
§9.12(vi) Maclaurin Series
9: 11.10 Anger–Weber Functions
§11.10(iii) Maclaurin Series
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. …