TY - JOUR TI - Analytic continuation of an operator‐valued H‐function with applications to neutron transport theory AU - Kelley, C. T. T2 - Journal of Mathematical Physics AB - An operator-valued generalization of Chandrasekhar’s H-function satisfies a nonlinear integral equation. A bifurcation analysis of this equation gives an analytic continuation of the H-function. This result is applied to a criticality problem in neutron transport theory, and asymptotic results are obtained. DA - 1978/2// PY - 1978/2// DO - 10.1063/1.523672 VL - 19 IS - 2 SP - 494-499 J2 - Journal of Mathematical Physics LA - en OP - SN - 0022-2488 1089-7658 UR - http://dx.doi.org/10.1063/1.523672 DB - Crossref ER - TY - JOUR TI - Solution by iteration of H‐equations in multigroup neutron transport AU - Kelley, C. T. AU - Mullikin, T. W. T2 - Journal of Mathematical Physics AB - The Chandrasekhar H-equations for matrix-valued functions are solved by an iterative method. Complex variables and positivity techniques are used to obtain convergence. This approach may be applied to subcritical neutron transport in a slab with isotropic scattering. DA - 1978/2// PY - 1978/2// DO - 10.1063/1.523673 VL - 19 IS - 2 SP - 500-501 J2 - Journal of Mathematical Physics LA - en OP - SN - 0022-2488 1089-7658 UR - http://dx.doi.org/10.1063/1.523673 DB - Crossref ER -