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• Mathematica
  ''' Series[BesselJ[0, Sqrt[x]] Sqrt[Pi x^(5/2)/2]/(1 + x), {x, Infinity, 2}] ''' ''' Series[BesselJ[0, x] Sqrt[Pi/2] x^(5/2)/(1 + x^2), {x, Infinity, 4}] '''
  12 KB (1,901 words) - 18:43, 30 July 2019
• Bessel transform
  g ( p ) =\int_0^\infty \mathrm{BesselJ}_\nu(px) f(x) x ~\mathrm d x\) where [[BesselJ]]\(_\nu\) is the [[Bessel function]], and
  8 KB (1,183 words) - 10:21, 20 July 2020
• BesselJ0
  [[File:Besselj0map1T080.png|right|500px|thumb|\(u+\mathrm i v=\mathrm{BesselJ}_0 (x+\mathrm i y)\)]] : \( \!\!\!\!\!\!\!\!\!\! (3) \displaystyle ~ ~ ~ \mathrm{BesselJ}_0(z)=
  6 KB (913 words) - 18:25, 30 July 2019
• Discrete Hankel transform
  T= Table[Table[ (2. BesselJ[0, (BesselJZero[0, n] BesselJZero[0, m])/ Abs[BesselJ[1, BesselJZero[0, n]]]
  7 KB (1,063 words) - 18:25, 30 July 2019
• Cylindric function
  ...te the best terminology: should the term [[Bessel function]] refer to only BesselJ, or also to other solutions of the similar equation and include the Neumann
  3 KB (388 words) - 18:26, 30 July 2019
• BesselJ1
  : \(\!\!\!\! \mathrm{BesselJ1}(z)=J_1(z)= \mathrm{BesselJ}[1,z]\) http://www.mathworks.co.jp/help/techdoc/ref/besselj.html
  3 KB (439 words) - 18:26, 30 July 2019
• Besselj1.cin
  // BesselJ[1,z] implementation:
  2 KB (159 words) - 14:59, 20 June 2013
• Bessel function
  Such a solution \(f\) denoted with \(\mathrm{BesselJ}[\nu,x]\) or with \(J_\nu(x)\). ==BesselJ==
  13 KB (1,592 words) - 18:25, 30 July 2019
• Simplify
  Simplify[Integrate[(BesselJ[0, BesselJZero[0,1] p]/(1-p^2) )^2 p , {p,0,Infinity}]] [[BesselJ]],
  2 KB (259 words) - 18:45, 30 July 2019
• Discrete Bessel
  W[n_] = Sqrt[2./S]/Abs[BesselJ[1, BesselJZero[0,n]]]; T = Table[Table[W[m] BesselJ[0, X[m] X[n]] W[n], {n,1,M}], {m,1,M}];
  8 KB (1,153 words) - 18:44, 30 July 2019
• Morinaga function
  <!--[[File:Besselj0map1T080.png|right|400px|thumb|\(u+\mathrm i v=\mathrm{BesselJ}_0 (x+\mathrm i y)\)]] !--> ...is the zeroth [[Bessel function]], id est, [[BesselJ0]]; \(J_0(z)\!=\,\)[[BesselJ]]\([0,x]\)
  15 KB (2,303 words) - 18:47, 30 July 2019
• Series
  Kori[z_]=BesselJ[0,BesselJZero[0,1] Sqrt[z]]/(1-z) Integrate::idiv: "Integral of ((6+6\I\p\z-3\p^2\z^2)\BesselJ[0,Sqrt[z] <<1>>]^2)/(-1+z)^2 does not converge on {0,\[Infinity]}. "
  2 KB (325 words) - 18:44, 30 July 2019