 For concise notation the continuous fraction is denoted simply by enumeration (in square brackets) of its denominators; then the definition of formula_85 can be written as
Reverse quantities are defined by a continuous fraction with a retrograde (in the direction of diminishing indices) sequence of denominators
The recurrence relation is transformed by introducing temporarily the notation "ηs" = (1 − δ"s")/δ"s".Then can be rewritten as

formula_86

By iteration an infinite continuous fraction is obtained

formula_87

Hence formula_88 and finally

This expression for δ"s" contains only two (instead of the three in ) random quantities formula_85 and formula_90, each of which assumes values in the interval [0, 1].It follows from the definition that formula_91.