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• ...ccessive [[derivative]]s of the function: this [[Taylor series]] is then a power series in its own right. ...>a_n[/itex] be a sequence of real or complex coefficients. The associated power series is
4 KB (785 words) - 14:27, 14 March 2021
• 302 bytes (38 words) - 17:25, 10 November 2008
• #REDIRECT [[Power series#Formal power series]]
46 bytes (6 words) - 13:23, 9 December 2008
• 152 bytes (20 words) - 17:21, 8 November 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 (156 words) - 14:57, 14 March 2021
• #REDIRECT [[Power series#Radius of convergence]]
48 bytes (6 words) - 14:46, 19 December 2008
• {{r|Power series}}
436 bytes (54 words) - 11:42, 15 June 2009
• {{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[/itex] be a sequence of real or complex coefficients. The associated power series is
4 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}}
604 bytes (87 words) - 17:03, 12 January 2010
• {{r|Power series}}
629 bytes (94 words) - 14:03, 7 November 2008
• {{r|Power series}}
213 bytes (24 words) - 16:16, 22 January 2010
• ...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 form
745 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 series
1 KB (148 words) - 13:24, 19 December 2009
• ...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 con
4 KB (730 words) - 15:17, 8 December 2009
• ...s)|ring]]: an important special case is the ring of integers. A '''formal power series''' over ''R'', with variable ''S'' is a formal sum $\sum a_n n^{-S}</m 2 KB (398 words) - 11:44, 15 June 2009 • ...nt series]] in a neighbourhood of ''a'', so that ''f'' is expressible as a power series 1 KB (188 words) - 13:32, 8 March 2009 • {{r|Power series}} 993 bytes (129 words) - 20:50, 11 January 2010 • ...e a commutative ring. A '''formal group''' in one parameter is a [[formal power series]] [itex]F\in A[[X,Y]]$ such that
602 bytes (121 words) - 13:24, 9 December 2008
• Jacobi's theta function is a [[power series]] in $\exp(\pi i \tau)$ (traditionally referred to as the ''nome
1 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]]
7 KB (1,134 words) - 16:18, 22 January 2010

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