Search results

Create the page "Holomorphic functions" on this wiki! See also the search results found.

• Transfer function
  [[File:KellerDoyaT.png|300px|thumb|Transfer functions of laser amplifiers with simple kinetics for the short pulses ([[Keller fun H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 (
  11 KB (1,644 words) - 06:33, 20 July 2020
• Logarithm
  '''Logarithm''' is [[holomorphic function]], inverse of the [[exponential]]. [[Category:Elementary functions]]
  4 KB (661 words) - 10:12, 20 July 2020
• ArcTetration
  H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. [[Aequationes Mathematicae]], v.81, p.65- Abstract — The holomorphic function h is constructed such that h(h(z))=z! ; this function is interpret
  7 KB (1,091 words) - 23:03, 30 November 2019
• Fixed point
  In the simple case, \(f\) is just [[holomorphic function]] of a single variable; then \(L\) is assumed to be a [[complex nu ...] offers the table of evaluations of some fixed points for some elementary functions
  4 KB (574 words) - 18:26, 30 July 2019
• Complex map
  '''Complex map''' is the graphical representation of a [[holomorphic function]] with the isolines of its real part and those of its imaginary pa For any holomorphic function, in any point, the isolines of the real part are orthogonal to tho
  2 KB (254 words) - 06:59, 1 December 2018
• Fslog.cin
  [[Category:Holomorphic functions]]
  5 KB (275 words) - 07:00, 1 December 2018
• Holomorphic function
  '''Holomorphic function''' is concept of the theory of functions of complex variables that refers the the existence of the derivative. Then, function \(f\) is called holomorphic on \(C\).
  1 KB (151 words) - 21:08, 25 January 2021
• Yulya function
  ...proximations for the inverse function, it may have sense to consider it as holomorphic function of the complex argument. [[Category:Mathematical functions]]
  12 KB (1,754 words) - 18:25, 30 July 2019
• Tania function
  ==Relation to other special functions== According to the Axiom [[TORI]] number 6, the simplest among related functions should be considered as principal, primary. From this axiom, it follows, th
  27 KB (4,071 words) - 18:29, 16 July 2020
• LambertW function
  ==Relation with other functions== '''LambertW''' is [[Holomorphic function]] at the whole complex plane except half-line along the negative p
  8 KB (1,107 words) - 18:26, 30 July 2019
• Doya function
  ...ng with real numbers. However, the difference become clearly seen is these functions are plotted in the complex plane. ...ermined by the two parameters \(P_{\rm sat}\) and \(t\) through the known functions Doya and Tania. Such a model seems to be applied, in particular, for the [[
  19 KB (2,778 words) - 10:05, 1 May 2021
• Table of superfunctions
  For a given function \(T\), called [[transfer function]], the holomorphic solution \(F\) of [[Transfer equation]] In any pair of holomorphic functions \(F\), \(G\!=\!F^{-1}\),
  11 KB (1,565 words) - 18:26, 30 July 2019
• Square root of exponential
  Such a \(\varphi\) is assumed to be [[holomorphic function]] for some domain of values of \(z\). </ref> in the middle or 20 century. But the [[real-holomorphic]] solution was not constructed that time.
  5 KB (750 words) - 18:25, 30 July 2019
• Iteration
  Walter Bergweiler. Iteration of meromorphic functions. Bull. Amer. Math. Soc. 29 (1993), 151-188 For iteration of functions, the same notation is used also by [[Walter Bergweiler]]
  14 KB (2,203 words) - 06:36, 20 July 2020
• Theorem
  For example, the existence and uniqueness of the holomorphic [[tetration]] with certain properties is declared as theorem in the first p H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 (
  2 KB (248 words) - 14:33, 20 June 2013
• Natural tetration
  Function \(\mathrm {tet}(z)\) is holomorphic in the whole complex plane except the line \(\Re(z)\le -2\). where \(\eta\) is holomorphic periodic function with period unity,
  14 KB (1,972 words) - 02:22, 27 June 2020
• Квадратный корень из факториала
  http://www.springerlink.com/content/u712vtp4122544x4 D.Kouznetsov. Holomorphic extension of the logistic sequence. Moscow University Physics Bulletin, 201 ...t/u7327836m2850246/ H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 (
  6 KB (312 words) - 18:33, 30 July 2019
• Iterated integral
  ...rithm, the \(J^n f\) may have singularities and cutlines even if \(f\) is holomorphic function. ...ay consider application of the fractional differentiation to some specific functions; for example, the polynomial or the exponential.
  9 KB (1,321 words) - 18:26, 30 July 2019
• Корень из факториала
  http://www.springerlink.com/content/u712vtp4122544x4 D.Kouznetsov. Holomorphic extension of the logistic sequence. Moscow University Physics Bulletin, 201 ...t/u7327836m2850246/ H.Trappmann, D.Kouznetsov. Uniqueness of Analytic Abel Functions in Absence of a Real Fixed Point. Aequationes Mathematicae, v.81, p.65-76 (
  7 KB (381 words) - 18:38, 30 July 2019
• ArcCos
  '''ArcCos''', or '''acos''' is [[holomorphic function]], inverse of [[cos]]. '''ArcCos''', or '''acos''', or '''arccos''' is [[holomorphic function]], inverse of [[cos]].
  5 KB (754 words) - 18:47, 30 July 2019

View (previous 20 | next 20) (20 | 50 | 100 | 250 | 500)