## On Kofink's approximate solution of the neutron transport equation |

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2i+l 2n v i a k?o approximate solutions aQ r(-Xx ax r(X1 Boltzmann equation boundary conditions 2.2 coefficient of Xn cp(x defined by 2.21 denote E-sum equation 2.1 equation of 5*l equations 5-1 equivalent to 5*9 exactly n positive ey F(s F+ X1 finite number fn x fn(x G2n has exactly Gn+1 Hence i e y i=0 l i increasing sequence 3.9 interval Kofink's Ky Fan Legendre function Legendre polynomials Lemma negative zero NEUTRON TRANSPORT p(Xx partial fraction decomposition Physics and Mathematics polynomial Gn polynomial of degree positive zeros r(Xx real and distinct real axis recurrence relation solution f satisfies spherical harmonics sufficiently large system of equations t)J dt Theorem 3.2 uniform convergence unique solution given x s(i zero X^n zeros of G zeros of P2n