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Create the page "Sqrt(2)" on this wiki! See also the search results found.

• Hermite polynomial
  ....jpg|300px|thumb| Normalised [[Hermite polynomial]]s, \(y=h_n(x)\) for \(n=2,3,4,5,6\)]] \(H_m(x)=(-1)^m \exp(-x^2) \partial_x^m \exp(-x^2)\)
  4 KB (628 words) - 18:47, 30 July 2019
• Kori
  \(~ ~\mathrm{kori}(z)=\displaystyle \frac{J_0\big(L\, \sqrt{x}\big)}{1-z}\) where \(L=\,\) [[BesselJZero]]\([0,1]\approx 2.4048255576957727686\)
  14 KB (1,943 words) - 18:48, 30 July 2019
• Korias
  \(\mathrm{kori}(z)=\displaystyle \frac{J_0\big( L_1 \sqrt{z} \big)}{1-z}\) where \(L_1\approx 2.4\) is first zero of the Bessel function \(J_0\). The corresponding limit f
  2 KB (328 words) - 10:27, 20 July 2020
• Korifit76
  ...tional aproximation of function [[kori]]\((x)=\displaystyle \frac{J_0(L_1 \sqrt{x})}{1\!-\!x}\) ...implementation of integrals with function [[nori]]\((x)=\,\)[[kori]]\((x)^2\).
  4 KB (644 words) - 18:47, 30 July 2019
• LaguerreL
  1 & 1-z & \frac{1}{2} \left(z^2-4 z+2\right) & \frac{1}{6} \left(-z^3+9 z^2-18 z+6\right) &
  5 KB (759 words) - 18:44, 30 July 2019
• Maga
  ...ga}(x)=\displaystyle 2 \int_0^\infty \mathrm{mori}(p )^2 \exp(\mathrm i p^2 x) \, p \,\mathrm d p\) [[mori]]\((p)=\displaystyle \frac{J_0(L p)}{1-p^2}\)
  8 KB (1,256 words) - 18:44, 30 July 2019
• Mathematics of Computation
  http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02342-2/home.html<br> ...H.Trappmann. Portrait of the four regular super-exponentials to base sqrt(2). Mathematics of Computation, 2010, v.79, p.1727-1756.
  2 KB (344 words) - 07:02, 1 December 2018
• Morias.cin
  DB L1=2.404825557695772768621631879326454643124; x=1./(z*z); t=-sqrt(2./M_PI/L1/z)/z/z;
  2 KB (188 words) - 07:03, 1 December 2018
• Morinaga function
  {1\!-\!x^2}~\), where \(J_0\) is [[Bessel function]] and \(L_1\approx 2.4\) is its first zero. {1\!-\!x^2}\)
  15 KB (2,303 words) - 18:47, 30 July 2019
• Naga
  ...ga}(p)=2\int_0^\infty \frac{J_0(L_1 x)^2}{(1-x^2)^2} \, \exp(\mathrm i p x^2)\, x\, \mathrm dx\) where \(L_1\!=\)[[BesselJZero]][0,1]\(\approx\! 2.4\) is the first zero of the Bessel function; \(J_0(L_1)=0\).
  5 KB (750 words) - 10:00, 20 July 2020
• NemBra
  \(\mathrm{Nem}_q'(z)=1+3z^2+4qz^3\) \(z_0=\mathrm{NemBra}(0)=\mathrm i /\sqrt{3} \approx 0.6\, \mathrm i\)
  4 KB (618 words) - 18:46, 30 July 2019
• NemBran
  \(\mathrm{Nem}_q^{\prime}(z)=1+3\,z^2+4\, q\, z^3\) Let \(~ \rho=-1-8q^2+4\sqrt{q^2+4q^4}\)
  3 KB (400 words) - 18:48, 30 July 2019
• Nemtsov function
  [[File:Nem100map.jpg|140px|thumb|Fig.2. \(u\!+\!\mathrm i v=\mathrm{Nem}_0(x\!+\!\mathrm i y)\)]] ...{Nem}_q\) is shown in figure 2 for \(q\!=\!0\) and in figure 3 for \(q\!=\!2\) with lines \(u\!=\!\mathrm{const}\) and
  14 KB (2,157 words) - 18:44, 30 July 2019
• Orthogonal polynomials
  For the set of orthogonal polynomials \(P_m\), \(m=0,1,2, ..\) {\int_a^b \rho(x)\, x\, P_m(x)^2\, \mathrm d x}
  6 KB (918 words) - 18:47, 30 July 2019
• Oscillator function
  \(F''(x)+(2n\!+\!1-x^2)\, F(x) = 0\) \(F_n(x)=h_n(x) \, \exp(-x^2/2)\) \(=N_n^{-1/2}\, H_n(x)\, \exp(-x^2/2)\)
  6 KB (846 words) - 18:47, 30 July 2019
• Parabolic coordinates
  \(\displaystyle \rho=\sqrt{uv}\) \(\displaystyle z=\frac{u\!-\!v}{2}\)
  3 KB (470 words) - 18:43, 30 July 2019
• Radial equation for hydrogen atom
  \frac{1}{r^2} \partial_r (r^2 R') - \frac{\ell(\ell\!+\!1)}{r^2} R
  8 KB (1,199 words) - 18:45, 30 July 2019
• Series
  Series[HankelH1[0, Sqrt[x] ]^2 Pi I Sqrt[x]/2, {x, Infinity, 2}] e^{2 i \sqrt{x}} \left(1-\frac{1}{4} i
  2 KB (325 words) - 18:44, 30 July 2019
• SinFT
  ...ansform, refers to the integral transform with kernel \(K(x,y)=\sqrt{\frac{2}{\pi}} \sin(xy)\); \(\displaystyle g(x)=\,\)[[SinFT]]\(f\,(x) \displaystyle =\sqrt{\frac{2}{\pi}} \int_0^\infty \sin(xy) \, f(y) \, \mathrm d y\)
  5 KB (807 words) - 18:44, 30 July 2019
• Special function
  2. Alternative representations of the function, relation of the function to o And kilogram be 2 lb.
  7 KB (991 words) - 18:48, 30 July 2019

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