ABSTRACT

In (8.05), the right-hand side is replaced by its limiting value when v is an integer or zero. In (8.06) the branches take their principal values when -a < ph z g f n. The Wronskians (8.07) show that Iv(z) and Kv(z) are linearly independent for all v, but not Iv(z) and I-,(z). And from properties stated in $8.1, it is seen that I,(z) andKv(z) comprise a numerically satisfactory pair throughout the sector (phzl 9 fn, provided that Rev 2 0.