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11: 10.31 Power Series
§10.31 Power Series
12: 10.53 Power Series
§10.53 Power Series
13: 12.4 Power-Series Expansions
§12.4 Power-Series Expansions
14: 12.15 Generalized Parabolic Cylinder Functions
See Faierman (1992) for power series and asymptotic expansions of a solution of (12.15.1).
15: 17.18 Methods of Computation
Method (2) is very powerful when applicable (Andrews (1976, Chapter 5)); however, it is applicable only rarely. …
16: 27.16 Cryptography
To code a piece x , raise x to the power r and reduce x r modulo n to obtain an integer y (the coded form of x ) between 1 and n . … In other words, to recover x from y we simply raise y to the power s and reduce modulo n . …
17: 7.17 Inverse Error Functions
§7.17(ii) Power Series
18: 23.17 Elementary Properties
§23.17(ii) Power and Laurent Series
19: 4.7 Derivatives and Differential Equations
§4.7(ii) Exponentials and Powers
When a z is a general power, ln a is replaced by the branch of Ln a used in constructing a z . …
20: 3.10 Continued Fractions
§3.10(ii) Relations to Power Series
Stieltjes Fractions
We say that it corresponds to the formal power series …if the expansion of its n th convergent C n in ascending powers of z agrees with (3.10.7) up to and including the term in z n 1 , n = 1 , 2 , 3 , . … We say that it is associated with the formal power series f ( z ) in (3.10.7) if the expansion of its n th convergent C n in ascending powers of z , agrees with (3.10.7) up to and including the term in z 2 n 1 , n = 1 , 2 , 3 , . …