Info

Fig. 6.2 Kelvin functions for x < 10

Fig. 6.2 Kelvin functions for x < 10

where L0 and M0 are the expansions

For instance, we use either equation set (6.20) for x < 10 or sets (6.23) and (6.24) for x > 12. For argument values such as 10 < x < 12, linear cross interpolations are obtained from the two forms. Some computed values of the Kelvin functions are given in Table 6.1.

The asymptotic relations for the derivatives are ber x bei x

1 ex/V2

V2nx

So(x) cos(- + D - T0(x) sm(- + f) So(x) sin( - + f ) + To(x) cos( - + f ) -So(-x) cos(--f ) - To(-x) sin(--f ) So(-x) sin(--f ) - To(-x) cos(--f )

where S0 and T0 are the following series

0 0

Post a comment