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• Conjecture on superfunctions
  ...n(z)=SuSin(n+AuSin(z)), where the number n of iteration has no need to be integer. .. ...n(z)=SuSin(n+AuSin(z)), where the number n of iteration has no need to be integer. ..
  7 KB (1,031 words) - 03:16, 12 May 2021
• Discrete Bessel
  ...) is the [[Bessel function]] of order \(v\). Often, \(v\) is assumed to be integer number or just zero.
  8 KB (1,153 words) - 18:44, 30 July 2019
• Exotic iteration
  ...distinguish the [[superfunction]], [[abelfunction]] and the resulting non-integer [[iterate]]s of the transfer function from the case of regular iteration, w The ability to construct superfunction, abelfunction and the non-integer iterates had been declared; therefore, the special case \(T'(L)\!=\!1\) als
  11 KB (1,715 words) - 18:44, 30 July 2019
• Gauss-Laguerre quadrature
  \(M\) is integer number (and should be for the precise approximation at non–polynomial \(f \(x_n\) and \(w_n\) for integer \(n\) are coordinates of nodes and corresponding weights, characterised in
  7 KB (997 words) - 18:44, 30 July 2019
• Hermite polynomial
  It is called [[Hermite number]]; originally, \(H_n\) is defined only for integer \(n\).
  4 KB (628 words) - 18:47, 30 July 2019
• LaguerreL
  For non-negative integer values of the second argument, it is also polynomial. For each integer non-negative \(k\), the \(k\)th Laguerre functions also form the orthogonal
  5 KB (759 words) - 18:44, 30 July 2019
• Laplacian in spherical coordinates
  ...these two solutions; continuity of the wave function implies that \(m\) is integer. ...ete set of numbers, namely, \(L=\ell(\ell\!+\!1)\) for some non–negative integer \(\ell\).
  8 KB (1,254 words) - 18:44, 30 July 2019
• LegendreP
  In C++, for integer values of subscript, evaluation of the coefficients of the polynomial can b
  5 KB (611 words) - 18:44, 30 July 2019
• Legendre function
  ...quantum mechanics]] of the [[hydrogen atom]], it is assumed, that \(m\) is integer. ...s can be expressed in terms of polynomials, if \(L=\ell(\ell+1)\) for some integer \(\ell \ge |m|\); id est,
  3 KB (442 words) - 18:44, 30 July 2019
• Lof
  appropriate integer factor of \(2\pi\mathrm i\) should be added to the right hand side of the i [[Factorial]] and its [[iterate]]s (including non-integer and even not real iterates)
  3 KB (478 words) - 18:43, 30 July 2019
• Mizugadro
  that assumes, that since some big integer number, the internal contradiction of the axioms of arithmetic
  1 KB (207 words) - 04:03, 29 January 2021
• Naga
  [[mori]]\((z)\approx\,\)[[morias]]\(_m(z)~\), \(~z\rightarrow \infty\), with integer \(m\) and
  5 KB (750 words) - 10:00, 20 July 2020
• NemBran
  Functions [[SuNem]] and [[AuNem]] are used to express the non-integer iterates of the [[Nemtsov function]]. The [[Nemtsov function]] is used as a ...[[superfunction]] for any non–trivial [[transfer function]]; then non–integer iterates of the transfer function can be expressed and evaluated.
  3 KB (400 words) - 18:48, 30 July 2019
• Nyquist theorem
  ...arphi\) from the integer values. Summation here is performed on the set of integer values of \(m\).
  6 KB (944 words) - 18:48, 30 July 2019
• Oscillator function
  For integer non-negative \(n\), the solution \(F_n\) can be expressed in terms of eleme It is called [[Hermite number]]; originally, \(H_n\) is defined only for integer \(n\).
  6 KB (846 words) - 18:47, 30 July 2019
• Radial equation for hydrogen atom
  \(\ell\) is non–negative integer parameter, that comes from the equations for the angular part of the wave f ...ssion suggests values \(\displaystyle k=\frac{1}{2n}\); then, for positive integer \(n\), the solution \(f\) is polynomial,
  8 KB (1,199 words) - 18:45, 30 July 2019
• SFT
  For \(N\!=\!2^n\) for some integer \(n\), there exist efficient numerical algorithms for evaluation of this su
  4 KB (602 words) - 18:43, 30 July 2019
• Sin
  In this expression, number \(n\) of iterate has no need to be integer. As other holomorphic functions, [[sin]] can be iterated any real or even c is shown for various number \(n\) of iterates. The iterates for integer \(n\) are shown with thick lines.
  4 KB (680 words) - 18:43, 30 July 2019
• SinFT
  at even integer \(n\), eigenfunction \(F\) has eigenvalue unity; for odd \(n\), the eigenva
  5 KB (807 words) - 18:44, 30 July 2019
• SuNem
  Keping some positive integer mumber \(M\) of terms, the asymptotic solution can be written as follows:
  6 KB (967 words) - 18:44, 30 July 2019

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