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  • \(\mathrm{Nem}_q'(z)=1+3z^2+4qz^3\) \(z_0=\mathrm{NemBra}(0)=\mathrm i /\sqrt{3} \approx 0.6\, \mathrm i\)
    4 KB (618 words) - 18:46, 30 July 2019
  • \(\mathrm{Nem}_q^{\prime}(z)=1+3\,z^2+4\, q\, z^3\) Let \(~ \rho=-1-8q^2+4\sqrt{q^2+4q^4}\)
    3 KB (400 words) - 18:48, 30 July 2019
  • [[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
  • 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
  • \(F''(x)+(2n\!+\!1-x^2)\, F(x) = 0\) \(F_n(x)=h_n(x) \, \exp(-x^2/2)\) \(=N_n^{-1/2}\, H_n(x)\, \exp(-x^2/2)\)
    6 KB (846 words) - 18:47, 30 July 2019
  • \(\displaystyle \rho=\sqrt{uv}\) \(\displaystyle z=\frac{u\!-\!v}{2}\)
    3 KB (470 words) - 18:43, 30 July 2019
  • \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[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
  • ...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
  • 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
  • ...uggests routine F21E for evaluation of [[tetration]] to base \(b\!=\!\sqrt{2}\). //In order to evaluate \(\mathrm{tet}_{\sqrt{2}}(z)\), the routine should be called as F21E(z)
    1 KB (109 words) - 18:48, 30 July 2019
  • ...Sqrt2f21l.cin]] is code for evaluation of [[arctetration]] to base \(\sqrt{2}\) of complex argument. DB TcL[23]={1., //coeff. of expansion of exp(-q(z+1.2 ...) by powers of (2-F).
    1 KB (145 words) - 18:47, 30 July 2019
  • ...r evaluation of real–holomorphic superexponential to base \(b\!=\!\sqrt{2}\). //In order to evaluate \(\mathrm{tet}_{\sqrt{2}}(z)\), the routine should be called as F23E(z)
    2 KB (146 words) - 18:47, 30 July 2019
  • ...or evaluation of real–holomorphic abelexponential to base \(b\!=\!\sqrt{2}\). //In order to evaluate \(\mathrm{tet}_{\sqrt{2}}(z)\), the routine should be called as F23L(z)
    2 KB (168 words) - 18:47, 30 July 2019
  • ...Sqrt2f43e.cin]] is routine for evaluation of superexponent to base \(\sqrt{2}\) that approach 4 at \(-\infty\) and has value 3 at zero. 0.12022125769065893274e-1, -0.45849888965617461424e-2,
    1 KB (131 words) - 10:44, 24 June 2020
  • ...[Sqrt2f43e.cin]] is routine for evaluarion of abelexponent to base \(\sqrt{2}\) that approach 4 at \(-\infty\) and has value zero at 3. -0.587369764200886206e-2, 0.289686728710575713e-2,
    1 KB (124 words) - 18:46, 30 July 2019
  • ...e infinitely growing superfunction of exponential, \(\mathrm{SuExp}_{\sqrt{2},5}\). 0.12022125769065893274e-1, 0.45849888965617461424e-2,
    1 KB (108 words) - 18:47, 30 July 2019
  • ...at ecaluates the growing [[Abel function]] of the exponent to base \(\sqrt{2}\) -0.587369764200886206e-2, 0.289686728710575713e-2,
    1 KB (131 words) - 18:47, 30 July 2019
  • \(q\!=\!1\) , green, and for \(q\!=\!2\) , blue]] [[File:Straro05at.jpg|300px|thumb|Fig.2. \(u\!+\!\mathrm i v=\mathrm{StraRo}_{0.5}(x\!+\!\mathrm i y\)]]
    4 KB (646 words) - 18:47, 30 July 2019
  • [[File:Sunem2mdp.jpg|200px|thumb|\(u\!+\!\mathrm i v=\mathrm{SuNem}_{2}(x\!+\!\mathrm i y)\)]] ...Nem}_{q}(z) = {\displaystyle \frac{1}{\sqrt{-2z}}}\left(1+O\left(\frac{1}{\sqrt{-2z}} \right)\right)\)
    6 KB (967 words) - 18:44, 30 July 2019

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