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• Mathematica
  In particular, the asymptotical analysis with function [[Series (Mathematica)|Series]] happened to be very efficient in calculatio ...ral constants are allowed as values of the number of iterations. Fore some function \(f\), the \(f^c\) is allowed only for an integer values of \(c\) (reducibl
  12 KB (1,901 words) - 18:43, 30 July 2019
• Bessel transform
  '''Bessel Transform''' or BesselTransform, called also '''Hankel transform''' at order \(\nu\) is operator that converts function \(f\) to function \(g=\mathrm{BesselTransform}_\nu(f)\) such that
  8 KB (1,183 words) - 10:21, 20 July 2020
• Discrete Hankel transform
  '''Discrete Hankel transform''' is the numerical analogy of the [[Bessel transform]]. http://www.gnu.org/software/gsl/manual/html_node/Discrete-Hankel-Transform-Definition.html</ref> is copypasted with minimal torification.
  7 KB (1,063 words) - 18:25, 30 July 2019
• BesselK0
  '''BesselK0''' or \(K_0\) is holomorphic function, solution \(f\) of equation ...r \(f(z)=\mathrm{BesselY0}(\mathrm i z)\), where [[BesselY0]] is [[Neumann function]].
  3 KB (394 words) - 18:26, 30 July 2019
• Cylindric function
  '''Cylindric function''' (or cylinder finction or cylindrical function) is class of special functions \(f\) satisfying equation http://encyclopedia2.thefreedictionary.com/Cylindrical+Function
  3 KB (388 words) - 18:26, 30 July 2019
• BesselH0
  ...kelH1]]\([0,z]\) is the [[Cylindric function]] H (called also the [[Hankel function]]) of zero order. ...tive argument are shown in the upper right corner. <!-- in comparison with function \(J_1=\)[[BesselJ1]].!-->
  4 KB (509 words) - 18:26, 30 July 2019
• Morias
  [[morias]] is asymptotic approximation of function [[mori]] at large values of its argument. where \(L_1\approx 2.4\) is first zero of the Bessel function, \(J_0(L_1)\!=\!0~\).
  3 KB (456 words) - 18:44, 30 July 2019
• Morinaga function
  [[File:MoriplotFragment.jpg|400px|thumb| [[Morinaga function]] and the principal Bessel mode]] [[Morinaga function]] \(\displaystyle
  15 KB (2,303 words) - 18:47, 30 July 2019
• Naga
  ...]. naga is expressed as integral of the simple combination of the [[Bessel function]] [[BesselJ0]] with elementary functions: ...\!=\)[[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