Asymptotic approximations for large zeros are as follows. Let and
denote the formal series
If is a large positive integer, then
In the case , numerical tabulations
(Abramowitz and Stegun (1964, Table 9.12)) indicate that each of (10.70.2)
corresponds to the th zero of the function on the left-hand side.
For the next six terms in the series (10.70.1) see