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• ArcCip
  Cih is also real-holomorphic, The notations of this article are not good. Many other similar functions should be described and implemented, anf theu should have similar names. Th
  8 KB (1,211 words) - 18:25, 30 July 2019
• ArcSin
  '''ArcSin''', or '''asign''', or '''arcsin''' is [[holomorphic function]], inverse of [[sin]]; \(f=\arcsin(z)\) is holomorphic solution \(f\) of equation
  9 KB (982 words) - 18:48, 30 July 2019
• Coshc
  Functions \(~y\!=\!\mathrm{coshc}(x)~\) and \(~y\!=\!\mathrm{coshc}'(x)~\) are shown Coshc is [[holomorphic function]] with the only singularity, namely, pole at zero.
  4 KB (509 words) - 18:26, 30 July 2019
• ArcCosc
  Knowledge of these constants simplifies evaluation of functions [[ArcCosc]] and [[ArcCohc]]. ...Cosc]] as it it would be elementary function. It has sense to include such functions as [[Tetration]], [[ArcTetration]], [[SuperFactorial]], [[AbelFactorial]],
  8 KB (1,137 words) - 18:27, 30 July 2019
• ArcCosqq
  '''ArcCosqq''' is holomorphic function defined with through functions [[acosq]] (or [[ArcCosq]]) expressed with
  2 KB (216 words) - 18:26, 30 July 2019
• Acosc1
  '''Acosc1''' is the holomorphic continuation of function [[ArcCosc]] behind the cut line along the negative Acosc1 is [[real holomorphic function]]; for all the branches numbered in this way, the relation below h
  6 KB (896 words) - 18:26, 30 July 2019
• BesselJ0
  The BesselJ0 is real-holomorphic, Along the real axis, BesselJ0 oscillates (like other [[Bessel]] functions). The zeros of are denoted with \(j_{0,n}\); where \(n\) is supposed to be
  6 KB (913 words) - 18:25, 30 July 2019
• BesselK0
  '''BesselK0''' or \(K_0\) is holomorphic function, solution \(f\) of equation
  3 KB (394 words) - 18:26, 30 July 2019
• Ocean wave solution
  The only functions can be differentiated, and the name of this function should be explicitly d The [[Serega function]] is not holomorphic; to, the separate expressions for the real and imaginary parts are used. Th
  12 KB (1,879 words) - 18:26, 30 July 2019
• Serega.cin
  // '''serega.cin''' is the numerical [[C++]] implementation of functions // Warining: non-holomorphic functions below!
  1 KB (265 words) - 15:00, 20 June 2013
• Serega function
  The Serega function is not holomorphic, and, therefore, not differentiable, id est, the derivative depends on the are derivatives of functions \(X\) and \(Y\) with respect to the last argument.
  5 KB (674 words) - 18:25, 30 July 2019
• LogisticSequence
  ...article [[Logistic sequence]] and links cited there, in particular, the [[Holomorphic extension of the logistic sequence]]. ...quence and its inverse functions can be expressed in terms of [[elementary functions]],
  7 KB (886 words) - 18:26, 30 July 2019
• ArcLogisticSequence
  [[ArcLogisticSequence]]\(_s\) is holomorphic function, inverse of function [[LogisticSequence]], ...is usually interpreted as operation of multiplication or [[combination of functions]].
  3 KB (380 words) - 18:25, 30 July 2019
• Logistic operator
  D.Kouznetsov. Holomorphic extension of the logistic sequence. Moscow University Physics Bulletin, 201 Many superfuncitons for the given transfer function exist; and many Abel functions exist too. That called ArcLogisticSequance seems to be the simplest one. Ac
  6 KB (817 words) - 19:54, 5 August 2020
• WrightOmega
  [[WrightOmega]] is holomorphic function, solution \(f\) of equations For this reason, both functions, [[Tania function]] and [[WrightOmega]] are used in [[TORI]].
  4 KB (610 words) - 10:22, 20 July 2020
• Keller function
  In the strip \(|\Im(z)|<\pi\), functions Keller and Keller\(_0\) are equivalent, \(\mathrm{Keller}(z)=\mathrm{Keller ...sidered also as just a complex variable; so, the Keller is treated as just holomorphic function of complex argument.
  10 KB (1,479 words) - 05:27, 16 December 2019
• Shoko function
  ...ty of the real axis (and, in particular, for real values of the argument), functions [[Shoka function|Shoka]] and [[Shoko function|Shoko]] coincide. The [[Shoko function]] can be expressed through the elementary functions:
  10 KB (1,507 words) - 18:25, 30 July 2019
• AuZex
  The should be unique, in order to avoid confusion with other functions, while all figures are collected in the same directory for some article or two different functions are used in the same expression.<br>
  6 KB (899 words) - 18:44, 30 July 2019
• Name of function
  ...in order to distinguish it/him/her from other element of the same set. For functions, the name is especially important because it allows to denote the complicat Usually, the names of functions use the ascii characters, namely, letters and, in exceptional cases, [[cife
  6 KB (901 words) - 18:27, 30 July 2019
• Power function
  These functions can be verified with the Mathematica code below: <poem><nomathjax><nowiki> ...ld be applied to the result. Often this appears dealing with trigonometric functions, one writes, for example, \(\sin^a(z)\) instead of \(\sin(z)^a~\). <!-- How
  15 KB (2,495 words) - 18:43, 30 July 2019

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