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• DCTI
  \(ふ_{\mathrm C1 , N}\) is its own inverse; \((ふ_{\mathrm C1,N})^2~ F = F\) The name of the functions and sense of the arguments are chosen following notations by the [[Numerica
  10 KB (1,447 words) - 18:27, 30 July 2019
• DCT
  The name of the functions and sense of the arguments are chosen following notations by the [[Numerica ====Inverse transform====
  10 KB (1,689 words) - 18:26, 30 July 2019
• Exact solution
  ...the integrand is expressed only in terms of already known, id est, spedial functions), then this expression can be qualified as '''exact solution'''. Paul DuChateau. INVERSE PROBLEMS IN PARTIAL DIFFERENTIAL EQUATIONS. 2. Exact Solutions. (2012)
  2 KB (351 words) - 15:00, 20 June 2013
• Ocean wave solution
  The only functions can be differentiated, and the name of this function should be explicitly d are derivatives of functions \(X\) and \(Y\) with respect to the last argument. \(u\) has sense of the h
  12 KB (1,879 words) - 18:26, 30 July 2019
• Serega function
  are derivatives of functions \(X\) and \(Y\) with respect to the last argument. WIth the inverse function \(\mathrm{ArcSerega}\), velocities can be expressed in terms of th
  5 KB (674 words) - 18:25, 30 July 2019
• LogisticSequence
  ...quence and its inverse functions can be expressed in terms of [[elementary functions]], Parameter \(z_0\) can be expressed through the inverse function of the LogisticSequence,
  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
  The inverse finction of the LogisticSequence is called [[ArcLogisticSequence]]. It is p 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
  In such a way, the inverse of the WrightOmega is elementary function [[zex]]: 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 As the Keller is expressed through elementary functions, no special numerical implementation is required.
  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
• ArcShoka
  [[ArcShoka]] function is inverse function of [[Shoka function]] and [[Abel function]] for the [[Keller funct ==Various inverse functions==
  3 KB (441 words) - 18:26, 30 July 2019
• ArcKeller
  ...e [[Keller function]]; there exist the explicit representations for these functions through the [[elementary function]]s: ...ArcShoka]] and [[Shoka function]]s can be expressed in terms of elementary functions:
  4 KB (545 words) - 18:26, 30 July 2019
• ArcLambertW
  One of the inverse function of [[ArcLambertW]] is called [[LambertW]] Figure 3 looks pretty similar to the plots of iterates of other functions with fast growth along the real axis.
  3 KB (499 words) - 18:25, 30 July 2019
• SuZex approximation
  ...ed to similar maps for various approximations of [[SuZex]] with elementary functions. All the maps are supposed to be displayed in the same scale. For function [[zex]]\((z)=z \exp(z)\) and its inverse [[LambertW]]\(=\mathrm{zex}^{-1}\), the efficient compex(double) numerical
  14 KB (2,037 words) - 18:25, 30 July 2019
• AuZex
  [[Auzex]] is inverse function of [[SuZex]]; \(\mathrm{AuZex} = \mathrm{SuZex}^{-1}\) [[AuZex]] is [[Inverse function]] of [[SuZex]], so, in wide ranges of values of \(z\), the relatio
  6 KB (899 words) - 18:44, 30 July 2019
• Power function
  These functions can be verified with the Mathematica code below: <poem><nomathjax><nowiki> ..., the power function \(~z^a\!=\!1/z~\) and the power function is its own [[inverse function]].
  15 KB (2,495 words) - 18:43, 30 July 2019
• Trappmann function
  ...unction is shown at the top figure. The Seconf figure shows the map of its inverse function ArcTra, and the Third (last) figure shows the explicit plot \(y=\m The inverse function, id est, the [[Abel function]] of \(\mathrm{Tra}\), may be called
  9 KB (1,320 words) - 11:38, 20 July 2020
• Zooming equation
  G. Szekeres. Regular iteration of real and complex functions. </ref>. The non-integer iterates of various functions can be constructed also with the [[superfunction]] and [[Abel function]], c
  10 KB (1,627 words) - 18:26, 30 July 2019
• SuTra
  ==Inverse function== The inverse function of SuTra, id est, [[AuTra]]\(=\)SuTra\(^{-1}\), satisfies the [[Ab
  9 KB (1,285 words) - 18:25, 30 July 2019

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