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  • [[Mandelbrot polynomial]] is special kind of quadratic polynomial, written in form The [[Mandelbrot polynomial]] is used to define the [[Mandelbrot set]]
    2 KB (229 words) - 18:44, 30 July 2019
  • [[Chebyshev polynomial]] \(T\) is defined with the recursive relation<br> In [[Mathematica]], the [[Chebyshev polynomial]]s are built-in functions; \(T_n(x)\) is denoted with ChebyshevT[n,x]
    1 KB (186 words) - 18:48, 30 July 2019
  • [[File:Hermiten.jpg|300px|thumb| Normalised [[Hermite polynomial]]s, \(y=h_n(x)\) for \(n=2,3,4,5,6\)]] [[Hermite polynomial]] appears at the solution of the [[Stationary Schroedinger equation]] with
    4 KB (628 words) - 18:47, 30 July 2019

Page text matches

  • (for example, the growth faster than any polynomial, but slower than any exponential) and may open the new branch in the simula
    14 KB (2,275 words) - 18:25, 30 July 2019
  • ...Along the real axis, the square root of factorial grows faster than any [[polynomial]], but slower than any [[exponential]].
    13 KB (1,766 words) - 18:43, 30 July 2019
  • ...ction may be useful for description of processes that grow faster than any polynomial but slower than any exponential. Such functions greatly extend the ability
    7 KB (1,091 words) - 23:03, 30 November 2019
  • the approximation by the polynomial of 5th order with respect to \(t\) gives at least three significant figures The [[complex map]] of the truncated expansion (11) as polynomial of 7th power of \(z\) is shown in figure at right for \(|z|\!<\!7\).
    27 KB (4,071 words) - 18:29, 16 July 2020
  • where \(\mathrm{HermiteH}\) are the [[Hermit polynomial]]s
    11 KB (1,501 words) - 18:44, 30 July 2019
  • ...tions of exponential give the class of functions that grow faster than any polynomial but slower than any exponential.
    14 KB (1,972 words) - 02:22, 27 June 2020
  • may fail; in particular, it fails while \(f\) is polynomial of order smaller than \(n\) and \(D^n f =0\) ...he fractional differentiation to some specific functions; for example, the polynomial or the exponential.
    9 KB (1,321 words) - 18:26, 30 July 2019
  • ...ed in figure at right. For comparison, the Taylor approximation with cubic polynomial is shown with thin lines,
    6 KB (896 words) - 18:26, 30 July 2019
  • '''ZernikeR''', or '''Zernike polynomial''' is eigendunction of the [[Bessel transform]]. ...integer value of parameter \(m\) of the [[Bessel transform]], the Zernike polynomial is expressed as follows:
    1 KB (191 words) - 18:26, 30 July 2019
  • where \(\mathrm{HermiteH}\) is the [[Hermite polynomial]]
    6 KB (915 words) - 18:26, 30 July 2019
  • ...or series, which is, actually, a polynomial. The [[complex map]] of such a polynomial of power \(N\!=\!42\) is shown in the figure 3, For evaluation of [[SuZex]] of real argument, the polynomial approximation is sufficient, the values of function can be reconstructed ap
    14 KB (2,037 words) - 18:25, 30 July 2019
  • where \(P_m\) is polynomial of \(m\)th order. In particular,
    10 KB (1,442 words) - 18:47, 30 July 2019
  • ...together with all their derivatives, can have slow (i.e., not faster than polynomial) .../math> decrease rapidly with all their derivatives (i.e., faster than any polynomial).
    38 KB (6,232 words) - 18:46, 30 July 2019
  • The polynomial is good function for the analytic integration with exponential; so, the rep
    13 KB (1,759 words) - 18:45, 30 July 2019
  • [[Mandelbrot polynomial]] is special kind of quadratic polynomial, written in form The [[Mandelbrot polynomial]] is used to define the [[Mandelbrot set]]
    2 KB (229 words) - 18:44, 30 July 2019
  • \(H_n\!=\)[[HermiteH]]\(_n\) is the \(nth\) [[Hermite polynomial]], [[Hermite polynomial]],
    6 KB (883 words) - 18:44, 30 July 2019
  • here, [[HermiteH]]\(_n\) denotes the \(n\)th [[Hermite polynomial]] and \(N_n\) is its norm.
    6 KB (770 words) - 18:44, 30 July 2019
  • [[Legendre polynomial]], [[Category:Legendre polynomial]]
    3 KB (352 words) - 18:45, 30 July 2019
  • Usually, letters \(a\) and \(c\) are used to denote coefficients of some polynomial and/or asymptotic expansions.
    2 KB (228 words) - 18:46, 30 July 2019
  • [[Chebyshev polynomial]] \(T\) is defined with the recursive relation<br> In [[Mathematica]], the [[Chebyshev polynomial]]s are built-in functions; \(T_n(x)\) is denoted with ChebyshevT[n,x]
    1 KB (186 words) - 18:48, 30 July 2019

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