 One-dimensional cosmological density kernel

ID: one-dimensional-cosmological-density-kernel

F_{n, s} (q_{1}, \dots, q_{n}) = \frac{( q _{1} + \dots + q _{n} ) ^{n}}{n ! q _{1} \dots q _{n}} .

In particular

F_{2, s} = (q_{1} + q_{2})^{2} / (2 q_{1} q_{2})

. An unsymmetrized representation of the one-dimensional beta mode-coupling kernel is

(q_{1} + q_{2}) / q_{1}

; its symmetric part is the expression above.

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