Bickley function

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11: 3.6 Linear Difference Equations

… ►Many special functions satisfy second-order recurrence relations, or difference equations, of the form … ►Miller (Bickley et al. (1952, pp. xvi–xvii)) that arbitrary “trial values” can be assigned to

w_{N}

and

w_{N+1}

, for example,

1

and

0

. … ►

Example 1. Bessel Functions

… ►

Example 2. Weber Function

►The Weber function

\mathbf{E}_{n}\left(1\right)

satisfies …