 From the recurrence relation (or directly from the expansion ) it is easy to conclude that the widths of the distributions "w""s"("x") (about other definite numbers) will then be equal to
(this expression is valid only so long as it defines quantities δ"x"(s) ≪ 1).The mean value formula_81, calculated from this distribution, diverges logarithmically.For a sequence, cut off at a very large, but still finite number "N", one has formula_82.