On higher derivatives of the Bessel and related functions

Closed expressions for the coefficients and in the formula are derived, where W ν(z) denotes the Bessel functions J ν(z) and I ν(z) or the Macdonald function K ν(z). Similar results for the Airy functions Ai(z) and Bi(z) and Struve functions H ν(z) and L ν(z) are obtained.