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• Holomorphic function
  ...rm '''''[[analytic function]]''''' is often used interchangeably with '''''holomorphic function''''', although the term '''''[[analytic function|analytic]]''''' is also us ...This is also because an important result in complex analysis is that every holomorphic function is complex analytic, a fact that does not follow directly from the definiti
  9 KB (1,434 words) - 15:35, 7 February 2009
• Holomorphic function/Proofs
  *is [[holomorphic function|holomorphic]] at a point ''a'' [[iff]] it is differentiable at every point
  4 KB (730 words) - 15:17, 8 December 2009
• Holomorphic function/Definition
  311 bytes (50 words) - 22:58, 17 February 2009
• Holomorphic function/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Holomorphic function]]. Needs checking by a human.
  991 bytes (124 words) - 17:15, 11 January 2010

Page text matches

• Isolated singularity
  ...unction (mathematics)|function]] is a point at which the function is not [[holomorphic function|holomorphic]], but which has a [[neighbourhood]] on which the function is h
  903 bytes (137 words) - 16:34, 11 November 2008
• Abel function/Related Articles
  {{rpl|Holomorphic function}}
  166 bytes (18 words) - 11:05, 24 January 2023
• Special function
  A special function is often [[holomorphic function|holomorphic]] on some domain of the [[complex plane]]. Also, many special f
  716 bytes (101 words) - 16:51, 8 December 2009
• Removable singularity
  ...at a point ''a'' if there is a neighbourhood of ''a'' in which ''f'' is [[holomorphic function|holomorphic]] except at ''a'' and the limit <math>\lim_{z \rightarrow a} f(
  929 bytes (138 words) - 02:29, 25 October 2013
• Biholomorphism
  '''Biholomorphism''' is a property of a [[holomorphic function|holomorphic]] [[function of a complex variable]]. ...ubseteq \mathbb{C} </math> is called ''biholomorphic'' if there exists a [[holomorphic function]] <math> g=f^{-1}</math> which is a two-sided [[inverse function]]: that is
  2 KB (293 words) - 17:36, 25 January 2009
• Taylor series/Related Articles
  {{r|Holomorphic function}}
  993 bytes (129 words) - 20:50, 11 January 2010
• Holomorphic function/Related Articles
  Auto-populated based on [[Special:WhatLinksHere/Holomorphic function]]. Needs checking by a human.
  991 bytes (124 words) - 17:15, 11 January 2010
• Biholomorphism/Definition
  Property of a [[holomorphic function]] <math>f</math> from <math>A\subseteq \mathbb{C}</math> to <math> B \subse characterized in that there exist [[holomorphic function]] <math> g=f^{-1}</math>
  400 bytes (68 words) - 00:40, 2 February 2009
• Meromorphic functions
  In particular, every [[holomorphic function]] can be considered as meromorphic.
  839 bytes (128 words) - 10:05, 10 October 2013
• Tetration/Definition
  Holomorphic function characterized in that at integer values of its argument it can be interpret
  156 bytes (21 words) - 14:27, 8 March 2009
• Meromorphic functions/Related Articles
  ...f the [[complex plane]] is a [[function (mathematics)|function]] that is [[holomorphic function|holomorphic]] on all ''D'' ''except'' a set of [[isolated point]]s, which {{r|holomorphic function}}
  1 KB (215 words) - 03:15, 21 January 2009
• Residue (mathematics)
  In complex analysis, the '''residue''' of a function ''f'' [[holomorphic function|holomorphic]] in an open set <math>\Omega</math> with possible exception of
  1 KB (227 words) - 16:56, 12 November 2008
• Superfactorial/Definition
  [[Superfunction]] of [[factorial]], [[holomorphic function|holomorphic]] solution <math>f</math> of equation
  605 bytes (85 words) - 01:42, 14 August 2009
• Pole (complex analysis)
  ...d singularity]]'' if there is a neighbourhood of ''a'' in which ''f'' is [[holomorphic function|holomorphic]] except at ''a''. In this case the function has a [[Laurent s
  1 KB (188 words) - 13:32, 8 March 2009
• Exponential function/Related Articles
  {{r|Holomorphic function}}
  837 bytes (109 words) - 16:27, 11 January 2010
• Abel function
  ...</math> is [[holomorphic function]] on <math>C</math>, <math>f</math> is [[holomorphic function]] on <math>D</math>
  2 KB (305 words) - 11:03, 24 January 2023
• Dedekind zeta function
  ...subsets]] of the half-plane <math> \Re (s) > 1 </math>. It thus defines a holomorphic function on this half-plane, and this can be extended by analytic continuation to a
  2 KB (343 words) - 07:23, 1 January 2009
• Limit (mathematics)/Related Articles
  {{r|Holomorphic function}}
  774 bytes (100 words) - 18:05, 11 January 2010
• Functional equation
  ...ents. Usually, the solution of a functional equation is supposed to be a [[holomorphic function]], although some functional equations were initially established for functi
  2 KB (215 words) - 00:05, 9 September 2009
• Superfunction/Related Articles
  {{r|Holomorphic function}}
  1 KB (158 words) - 01:31, 14 August 2009