A Markovian description of the multi-level source function and its application to the Lyman series in the Sun

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Fig. 3.

Limiting matrix $p_{i j}^{\infty}$ $p^\infty_{ij}$ for a n-level absorbing Markov chain. The submatrices I and 0 represent the identity and zero matrix, respectively. (I − Q)⁻¹ represents the fundamental matrix N. The absorbing probabilities B_ij are contained in the submatrix R(I − Q)⁻¹.

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