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  • T= Table[Table[ (2. BesselJ[0, (BesselJZero[0, n] BesselJZero[0, m])/ BesselJZero[0, M+1]])/(
    7 KB (1,063 words) - 18:25, 30 July 2019
  • Zeros of the Bessel function are demote with identifier BesselJZero; first argument indicates the order of the Bessel function; second one base zo[k_] = Series[BesselJZero[v, k], {k, Infinity, 1}]
    13 KB (1,592 words) - 18:25, 30 July 2019
  • Simplify[Integrate[(BesselJ[0, BesselJZero[0,1] p]/(1-p^2) )^2 p , {p,0,Infinity}]] -(1/2) Sqrt[Pi] MeijerG[{{}, {1/2}}, {{0, 1}, {0}}, BesselJZero[0, 1]^2]
    2 KB (259 words) - 18:45, 30 July 2019
  • ...\(j_0=\,\)[[BesselJ0]] is the zeroth [[bessel function]], and \(L=\mathrm{BesselJZero}[0,1]\approx 2.404825557695773\) is its first zero. for integer \(n>1\), where \(L_n=\,\)[[BesselJZero]]\([0,n]\) is \(n\)th zero of the [[Bessel function]] of zero order.
    13 KB (1,759 words) - 18:45, 30 July 2019
  • S = 1. BesselJZero[0, M+1]; X[n_] = BesselJZero[0,n]/Sqrt[S];
    8 KB (1,153 words) - 18:44, 30 July 2019
  • where \(L=\,\) [[BesselJZero]]\([0,1]\approx 2.4048255576957727686\) \((\mathrm{BesseljZero}[0,2]/\mathrm{BesseljZero}[0,1])^2
    14 KB (1,943 words) - 18:48, 30 July 2019
  • Here, \(L_n=\mathrm{BesselJZero}[0,n]\); in particular, \(L_1=\,\)[[BesselJZero]]\((0,1)\approx 2.4\) where \(L_n=\mathrm{BesselJZero}[0,n]\) and coefficients \(a\) and \(b\) are:
    4 KB (644 words) - 18:47, 30 July 2019
  • ...4825557695773\) is the first zero of [[BesselJ0]], id est, \(L_1\!=\,\)[[BesselJZero]]\([0,1]\). In such a way, \(J_0(L_1)\!=\!0\). Integrate[ ( BesselJ[0, p*BesselJZero[0, 1]]/(1 - p^2))^2 p, {p, 0, Infinity}]
    15 KB (2,303 words) - 18:47, 30 July 2019
  • where \(L_1\!=\)[[BesselJZero]][0,1]\(\approx\! 2.4\) is the first zero of the Bessel function; \(J_0(L_1
    5 KB (750 words) - 10:00, 20 July 2020
  • Kori[z_]=BesselJ[0,BesselJZero[0,1] Sqrt[z]]/(1-z)
    2 KB (325 words) - 18:44, 30 July 2019