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• Cylindric function
  ...tion''' (or cylinder finction or cylindrical function) is class of special functions \(f\) satisfying equation Several cylindric functions have special names: [[BessleJ]] = J, [[BesselY]]=Y, [[BesselH]]=H, or, corr
  3 KB (388 words) - 18:26, 30 July 2019
• BesselJ1
  http://www.gnu.org/software/gsl/manual/html_node/Regular-Cylindrical-Bessel-Functions.html
  3 KB (439 words) - 18:26, 30 July 2019
• Bessel function
  Many formulas about the Bessel functions below are borrowed from the handbook by [[Abramowirtz,Stegun]] Abramovitz, Stegun. Handbook on mathematical functions.
  13 KB (1,592 words) - 18:25, 30 July 2019
• Classical mechanics
  The coordinates of each point are smooth functions of time. All velocities are differentiable functions, and the time derivative of velocity is called acceleration:
  4 KB (560 words) - 18:26, 30 July 2019
• CosFourier
  defined on the set of functions \(f\) such that the integral below converges: At the set of continuous functions, defined for the positive values of the argument, the second iteration of t
  6 KB (915 words) - 18:26, 30 July 2019
• Discrete Fourier
  ...etimes the special font is used to avoid the confusion with parameters and functions.) For the continuous square-integrable functions, the discrete approximation with \(N\) points can be written with uniform m
  6 KB (1,032 words) - 18:48, 30 July 2019
• DCTI
  The name of the functions and sense of the arguments are chosen following notations by the [[Numerica The C++ numerical CosFourier transform of the self-Fourier function \(F(x)=\exp(-x^2/2)\) can be realized as follows:
  10 KB (1,447 words) - 18:27, 30 July 2019
• Varipend3
  ...ed; explicit representation for all the coordinates in terms of elementary functions are suggested. Note that the couple (First and Second bodies) rotates with
  8 KB (1,036 words) - 18:25, 30 July 2019
• DCT
  The name of the functions and sense of the arguments are chosen following notations by the [[Numerica
  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'''.
  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.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
  are derivatives of functions \(X\) and \(Y\) with respect to the last argument. In the implementation of ArcSerega, it is treated as pair of functions of pair of variables.
  5 KB (674 words) - 18:25, 30 July 2019
• LogisticSequence
  ...quence and its inverse functions can be expressed in terms of [[elementary functions]], ...\mathrm {ArcLogisticSequence}_s\) are available. The complex maps of these functions for various \(s\) are suggested in <ref name="logi">
  7 KB (886 words) - 18:26, 30 July 2019
• ArcLogisticSequence
  ...is usually interpreted as operation of multiplication or [[combination of functions]].
  3 KB (380 words) - 18:25, 30 July 2019
• Logistic operator
  Many superfuncitons for the given transfer function exist; and many Abel functions exist too. That called ArcLogisticSequance seems to be the simplest one. Ac ...nown; the efficient algorithms for the evaluation are supplied. With these functions, the explicit plot of some iterations of the logistic operators are
  6 KB (817 words) - 19:54, 5 August 2020
• WrightOmega
  For this reason, both functions, [[Tania function]] and [[WrightOmega]] are used in [[TORI]]. [[Category:Holomorphic functions]]
  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
  ==Various inverse functions== For efficient comparison of various [[superfunction]]s \(F\) of the transfer functions \(T\) of realistic physical systems, the extension to the complex plane see
  3 KB (441 words) - 18:26, 30 July 2019

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