Physical Processes in the Gaseous Nebulae. VII. The Transfer of Radiation in the Lyman Continuum.

The differential equations for the transfer of radiation in the Lyman continuum are derived. In order to take into account the varying quality of the radiation as it passes through the nebula and also the variation of the electron temperature, it is necessary to consider the transfer in each element of the continuum rather than to treat the continuum as a single level. The equation of transfer, as written down for a particular frequency in the continuum, therefore contains a term that describes the "interlocking" between the elements of the continuum. The application of these equations to a numerical example is deferred to a later paper.