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- ...ccessive [[derivative]]s of the function: this [[Taylor series]] is then a power series in its own right. ...>a_n</math> be a sequence of real or complex coefficients. The associated power series is4 KB (785 words) - 14:27, 14 March 2021
- 152 bytes (20 words) - 17:21, 8 November 2008
- 302 bytes (38 words) - 17:25, 10 November 2008
- #REDIRECT [[Power series#Formal power series]]46 bytes (6 words) - 13:23, 9 December 2008
- 635 bytes (94 words) - 17:06, 12 January 2010
Page text matches
- #REDIRECT [[Power series#Formal power series]]46 bytes (6 words) - 13:23, 9 December 2008
- {{rpl|Power series}}1 KB (178 words) - 13:34, 24 January 2023
- {{r|Power series}} {{r|Power series}}577 bytes (73 words) - 12:01, 7 August 2024
- #REDIRECT [[Power series#Radius of convergence]]48 bytes (6 words) - 14:46, 19 December 2008
- {{rpl|Power series}}162 bytes (18 words) - 10:54, 26 July 2023
- {{r|Power series}}794 bytes (118 words) - 02:53, 7 November 2008
- ...ccessive [[derivative]]s of the function: this [[Taylor series]] is then a power series in its own right. ...>a_n</math> be a sequence of real or complex coefficients. The associated power series is4 KB (785 words) - 14:27, 14 March 2021
- A formal power series behaving as if it were the product of a Lie group.109 bytes (18 words) - 07:51, 4 September 2009
- A description of a canonical form for formal power series over a complete local ring.121 bytes (18 words) - 15:11, 21 December 2008
- {{r|Power series}}714 bytes (99 words) - 07:01, 18 August 2024
- ...Weierstrass preparation theorem''' describes a canonical form for [[formal power series]] over a [[complete local ring]]. Let ''O'' be a complete local ring and ''f'' a formal power series in ''O''[[''X'']]. Then ''f'' can be written uniquely in the form745 bytes (116 words) - 13:35, 8 March 2009
- ...The ''ordinary generating function'' may be defined purely formally as a [[power series]] The ''exponential generating function'' may be defined similarly as a power series1 KB (152 words) - 17:00, 20 August 2024
- ...f in some open disk centered at ''a'' it can be expanded as a convergent [[power series]] * the fact that, since power series are infinitely differentiable, so are holomorphic functions (this is in con4 KB (730 words) - 15:17, 8 December 2009
- {{r|Power series}}358 bytes (41 words) - 07:00, 21 August 2024
- ...s)|ring]]: an important special case is the ring of integers. A '''formal power series''' over ''R'', with variable ''S'' is a formal sum <math>\sum a_n n^{-S}</m2 KB (402 words) - 12:01, 7 August 2024
- ...nt series]] in a neighbourhood of ''a'', so that ''f'' is expressible as a power series1 KB (188 words) - 13:32, 8 March 2009
- {{r|Power series}}993 bytes (129 words) - 20:50, 11 January 2010
- ...e a commutative ring. A '''formal group''' in one parameter is a [[formal power series]] <math>F\in A[[X,Y]]</math> such that602 bytes (121 words) - 13:24, 9 December 2008
- Jacobi's theta function is a [[power series]] in <math>\exp(\pi i \tau)</math> (traditionally referred to as the ''nome1 KB (161 words) - 04:13, 3 January 2009
- == Geometric power series == ...t ''q'' by a variable ''x'' and consider the (real or complex) geometric [[power series]]8 KB (1,138 words) - 07:00, 21 August 2024