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• Discrete Hankel transform
  Computation of quasi-discrete Hankel transforms of integer order for propagating optical wave fields.
  7 KB (1,063 words) - 18:25, 30 July 2019
• Cylindric function
  </ref>. Often, it is assumed that \(\nu\) is complex, of real or integer.
  3 KB (388 words) - 18:26, 30 July 2019
• Billion
  Also, [[billion]] can be interpreted as an [[integer number]]; its value may vary from \(10^{9}\) to \(10^{12}\).
  2 KB (334 words) - 18:25, 30 July 2019
• Bessel function
  For the precise evaluation at integer \(v\), three steps of the Newton iteration to adjust the value seem to be s
  13 KB (1,592 words) - 18:25, 30 July 2019
• DCTIII
  The second argument is unsigned integer, that indicates value \(N=2^q\); where \(q\) is assumed to be real number.
  6 KB (825 words) - 18:25, 30 July 2019
• LogisticSequence
  ...quence seems to be the most "natural" and most "physical" extension of the integer sequence considered in the literature; this extension appears at the constr
  7 KB (886 words) - 18:26, 30 July 2019
• Logistic operator
  These [[superfunction]] and [[abelfunction]] are used to plot the non-integer [[iterate]]s of the LogisticOperator; these iterates are shown with colored For integer \(c\), the \(c\)th iteration of function \(T=\mathrm{LogisticOperator}_s\)
  6 KB (817 words) - 19:54, 5 August 2020
• WrightOmega
  ...y with other [[superfunction]]s, where value at zero is choosen as minimal integer that is still larger than the [[fixed point]] used for the construction wit ...er values of \(k\). However, the same relation can be postulated for non–integer values of \(k\), extending definition of \(\mathrm{LambertW}_k\).
  4 KB (610 words) - 10:22, 20 July 2020
• Shoko function
  ...unction]] has series of branchpoints at \(r+\pi(1\!+\!2 n) \mathrm i\) for integer values of \(n\); and the series of cutlines \(r+\pi(1\!+\!2 n)\mathrm i + t\) for integer values of \(n\) and positive values of \(t\).
  10 KB (1,507 words) - 18:25, 30 July 2019
• Shoka function
  : \( x+ (1\!+\!2n) \mathrm i \pi ~\) at real \(x\) and integer \(n\).
  3 KB (421 words) - 10:23, 20 July 2020
• ArcLambertW
  The number \(n\) of iteration hax no need to be integer. For several real values of \(n\), the \(n\)th iteration of [[zex]] by (8)
  3 KB (499 words) - 18:25, 30 July 2019
• SuZex approximation
  ...P_{96}(z\!-\!n)~\)is used as approximation of \(\mathrm{SuZex}(z)\), with integer \(~n \!\approx\! \Re(z)\). ...hi(z\!-\!n)\Big)~\)is used as approximation of \(\mathrm{SuZex}(z)\), with integer \(~n \!\approx\! \Re(z)\).
  14 KB (2,037 words) - 18:25, 30 July 2019
• Power function
  ...n some realizations, there may be some problems while one of arguments are integer and another one is complex. In some programming languages, including [[Math In some cases of integer \(a\) the function has specific names.
  15 KB (2,495 words) - 18:43, 30 July 2019
• Trappmann function
  ...the building-up its [[superfunction]], the [[Abel function]] and the non–integer [[iterate]]s of function Tra. SuZex has a countable set of saddle points, \(\mathrm 2 i \pi (n+1/2)\) for integer values of \(n\).
  9 KB (1,320 words) - 11:38, 20 July 2020
• Schroeder equation
  ...~\), \(~g~\) and \(~s~\), equation (9) provides a tool to evaluate the non-integer iterates of function \(T\). ...~\), \(~g~\) and \(~s~\), equation (9) provides a tool to evaluate the non-integer iterates of function \(T\).
  8 KB (1,239 words) - 11:32, 20 July 2020
• Fractional iterate
  [[Fractional iterate]] is concept used to construct non-integer iterates of functions. ...is called as \(~r\)th [[fractional iterate]], iff \(~r\!=\!m/n~\) for some integer numbers \(~m, n~\) and
  2 KB (272 words) - 18:25, 30 July 2019
• Zooming equation
  Regular iteration is procedure that leads to non-integer iterates of a transfer function, that are regular in some vicinity of its f ...Schroeder function]] \(~g\!=\!f^{-1}~\) can be used to construct the non–integer [[iterate]] \(~T^n~\), that is regular in vicinity of zero, id est, the [[r
  10 KB (1,627 words) - 18:26, 30 July 2019
• SuTra
  Then, for any complex \(z\) and some positive integer \(m\) function SuTra can be defined with ...ction]]; the number \(n\) of iteration in expression (7) has no need to be integer. As usually, the [[superfunction]] can be iterated any real (can even compl
  9 KB (1,285 words) - 18:25, 30 July 2019
• AuTra
  For some fixed integer \(M\), define the primary approximation as truncation of the series above:
  6 KB (1,009 words) - 18:48, 30 July 2019
• GSL
  ...write the arighmetic expression "as is", in the in the form, accepted for integer, folod, double, etc, the internal GSL format impllies writing of the call o
  6 KB (975 words) - 18:47, 30 July 2019

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