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- {{ dambigbox| Complex analysis | Analysis }} ...ing complex-valued functions does not qualify something for being called ''complex analysis''; it is really the new definitions of differentiation and integration with6 KB (1,077 words) - 19:25, 29 September 2020
- 12 bytes (1 word) - 06:49, 26 September 2007
- 220 bytes (24 words) - 04:46, 22 February 2011
- In [[complex analysis]], a '''pole''' is a type of [[singularity]] of a [[function (mathematics)|1 KB (188 words) - 13:32, 8 March 2009
- ===Disciplines within complex analysis===670 bytes (80 words) - 08:52, 7 August 2008
- 133 bytes (21 words) - 02:35, 5 December 2008
- Auto-populated based on [[Special:WhatLinksHere/Pole (complex analysis)]]. Needs checking by a human.665 bytes (81 words) - 19:37, 11 January 2010
Page text matches
- {{rpl|Complex analysis||**}}254 bytes (27 words) - 04:01, 26 September 2013
- In [[mathematical analysis]], precisely in [[complex analysis]], '''several complex variables''' is the field that studies the properties198 bytes (26 words) - 06:52, 22 February 2011
- ===Disciplines within complex analysis===670 bytes (80 words) - 08:52, 7 August 2008
- Field of mathematics, precisely of [[complex analysis]], that studies those properties which characterize [[Function (mathematics232 bytes (27 words) - 04:54, 22 February 2011
- In [[complex analysis]], a '''removable singularity''' is a type of [[singularity]] of a [[functi An isolated singularity may be either removable, a [[pole (complex analysis)|pole]], or an [[essential singularity]].929 bytes (138 words) - 02:29, 25 October 2013
- <noinclude>{{Subpages}}</noinclude>A certain type of function in [[complex analysis]], with connections to [[algebraic geometry]] and [[number theory]]151 bytes (19 words) - 18:29, 15 December 2010
- ...l equation]]s which characterize [[Function (mathematics)|functions]] in [[complex analysis]].160 bytes (18 words) - 05:17, 22 February 2011
- In [[complex analysis]], an '''isolated singularity''' of a [[complex number|complex]]-valued [[f ...er of ''z''-''a'' times ''f'' is bounded, and the singularity is a [[pole (complex analysis)|pole]].903 bytes (137 words) - 16:34, 11 November 2008
- {{r|Complex analysis}} {{r|Pole (complex analysis)}}560 bytes (69 words) - 20:00, 11 January 2010
- ...nent French mathematician, one of the pioneers of rigor in mathematics and complex analysis.149 bytes (17 words) - 13:55, 21 May 2008
- * {{cite book | author=Hilary A. Priestley | title=Introduction to Complex Analysis | edition=2nd ed | publisher=[[Oxford University Press]] | year=2003 | isbn189 bytes (24 words) - 16:43, 11 November 2008
- {{r|Complex analysis}} {{r|Complex analysis}}918 bytes (144 words) - 02:40, 23 February 2011
- In complex analysis, the '''residue''' of a function ''f'' [[holomorphic function|holomorphic ...h>z_0</math> itself), with either a [[removable singularity]] or a [[pole (complex analysis)|pole]] at <math>z_0</math>, then it can be represented as a [[Laurent seri1 KB (227 words) - 16:56, 12 November 2008
- ...] on all ''D'' ''except'' a set of [[isolated point]]s, which are [[pole (complex analysis)|pole]]s for the function. (The terminology comes from the [[Ancient Greek]1 KB (215 words) - 03:15, 21 January 2009
- | title = An Introduction to Complex Analysis in Several Variables768 bytes (98 words) - 02:37, 23 February 2011
- ...'; part I in ''Global analysis'', Princeton university press. Part II in ''complex analysis and algebraic geometry'', Cambridge university press. Part III in ''Invent1,005 bytes (121 words) - 16:33, 1 December 2008
- ...eveloped prior to the advent of state space methods, which rely heavily on complex analysis and transform methods, especially the Laplace and Fourier transforms, as we246 bytes (33 words) - 22:08, 11 September 2009
- Theorem that relates the complex analysis of a connected compact Riemann surface with the surface's purely topologica230 bytes (34 words) - 19:05, 4 September 2009
- In [[complex analysis]], a '''pole''' is a type of [[singularity]] of a [[function (mathematics)|1 KB (188 words) - 13:32, 8 March 2009
- {{rpl|Pole (complex analysis)}}166 bytes (21 words) - 05:56, 26 September 2013
- {{r|Complex analysis}} {{r|Pole (complex analysis)}}972 bytes (150 words) - 16:38, 11 November 2008
- | title = An Introduction to Classical Complex Analysis. Vol. 1 }}. A comprehensive textbook on some topics of [[complex analysis]], with historical sections at the end of each chapter and also many histor2 KB (282 words) - 05:29, 8 February 2011
- ...h to the theory. The authors are well known contributors to the field of [[complex analysis]].2 KB (237 words) - 08:05, 24 February 2011
- In complex analysis, a meromorphic function on an open subset D of the complex plane is a funct839 bytes (128 words) - 10:05, 10 October 2013
- {{r|Complex analysis}}276 bytes (34 words) - 10:41, 21 April 2010
- |title = Complex Analysis899 bytes (119 words) - 17:42, 26 September 2007
- {{r|Complex analysis}}993 bytes (129 words) - 20:50, 11 January 2010
- {{ dambigbox| Complex analysis | Analysis }} ...ing complex-valued functions does not qualify something for being called ''complex analysis''; it is really the new definitions of differentiation and integration with6 KB (1,077 words) - 19:25, 29 September 2020
- ===Using complex analysis=== There are also proofs that do not depend on [[complex analysis]], but they require more [[algebra|algebraic]] or [[topology|topological]]5 KB (924 words) - 16:35, 11 December 2008
- ...uence, allowing the application of methods of [[real analysis|real]] and [[complex analysis]] to problems in [[algorithmics]], [[combinatorics]], [[number theory]], [[1 KB (148 words) - 13:24, 19 December 2009
- ...Littlewood | authorlink=J. E. Littlewood | title=Some problems in real and complex analysis | publisher=D.C. Heath | year=1968 }}2 KB (230 words) - 16:13, 27 October 2008
- {{r|Pole (complex analysis)}}505 bytes (63 words) - 19:58, 11 January 2010
- {{r|Complex analysis}}1 KB (162 words) - 07:35, 9 January 2011
- '''Holomorphic functions''' are the central object of study of [[complex analysis]]; they are [[function (mathematics)|functions]] defined on an [[open set|o ...oincides with the class of ''holomorphic functions'' is a major theorem in complex analysis.9 KB (1,434 words) - 15:35, 7 February 2009
- Auto-populated based on [[Special:WhatLinksHere/Pole (complex analysis)]]. Needs checking by a human.665 bytes (81 words) - 19:37, 11 January 2010
- {{r|Complex analysis}}663 bytes (84 words) - 19:23, 11 January 2010
- In [[complex analysis]], the '''Cauchy-Riemann equations''' are one of the of the basic objects o ...ics]]<ref>See {{harvnb|D'Alembert|1752}}.</ref>: this connection between [[complex analysis]] and hydrodynamics is made explicit in classical [[treatise]]s of the latt6 KB (874 words) - 03:45, 7 October 2013
- {{r|Complex analysis}}763 bytes (99 words) - 17:28, 11 January 2010
- A '''modular form''' is a type of function in [[complex analysis]], with connections to [[algebraic geometry]] and [[number theory]]. Modula1 KB (235 words) - 19:47, 15 December 2010
- {{r|Pole (complex analysis)}}991 bytes (124 words) - 17:15, 11 January 2010
- ...man | Rudolf E. Kalman]]. The methods of classical control rely heavily on complex analysis and transform methods, especially the [[Laplace transform|Laplace]] and [[F862 bytes (114 words) - 05:54, 26 September 2007
- In [[complex analysis]], a field of [[mathematics]], a [[complex number|complex]]-valued [[functi One of the most important theorems of complex analysis is that holomorphic functions are analytic. Among the corollaries of this4 KB (730 words) - 15:17, 8 December 2009
- {{r|Complex analysis}}908 bytes (142 words) - 06:59, 22 February 2011
- ...ed [[real analysis]] and the study of complex-valued functions is called [[complex analysis]].5 KB (912 words) - 09:26, 29 May 2009
- ...ician who made important contributions to [[differential geometry]], the [[complex analysis|theory of functions]], and [[number theory]].5 KB (751 words) - 11:37, 25 March 2022
- ...on]] with finitely many [[Euler factor]]s removed, and hence has a [[pole (complex analysis)|pole]] of order 1 at ''s''=1. Otherwise ''L''(''s'',χ) has a half-plane2 KB (335 words) - 06:03, 15 June 2009
- ...eory of [[normed vector space]]s in functional analysis, and in parts of [[complex analysis]].2 KB (414 words) - 08:12, 16 April 2009
- ...vca/PDF/vca-preface.pdf "Preface"]" to ''[http://www.usfca.edu/vca/ Visual Complex Analysis]''. Oxford University Press, (1999). ISBN 0-19-853446-9.2 KB (243 words) - 06:05, 22 May 2009
- ...used this to establish the prime number theorem. A proof not relying on [[complex analysis]] proved elusive, even though weaker results on the distribution of prime n4 KB (703 words) - 12:02, 13 November 2007
- ...cially on [[complex analysis]]. But it is by no means necessary to rely on complex analysis here. A proof using [[field theory]] is alluded to at the very end of this18 KB (3,028 words) - 17:12, 25 August 2013