§11.1 Special Notation

(For other notation see Notation for the Special Functions.)

Unless indicated otherwise, primes denote derivatives with respect to the argument. For the functions $J_{\nu }\left(z\right)$, $Y_{\nu }\left(z\right)$, $H_{\nu }^{(1)}\left(z\right)$, $H_{\nu }^{(2)}\left(z\right)$, $I_{\nu }\left(z\right)$, and $K_{\nu }\left(z\right)$ see §§10.2(ii), 10.25(ii).

The functions treated in this chapter are the Struve functions ${\mathbf{H}}_{\nu }\left(z\right)$ and ${\mathbf{K}}_{\nu }\left(z\right)$, the modified Struve functions ${\mathbf{L}}_{\nu }\left(z\right)$ and ${\mathbf{M}}_{\nu }\left(z\right)$, the Lommel functions $s_{\mu ,\nu }\left(z\right)$ and $S_{\mu ,\nu }\left(z\right)$, the Anger function ${\mathbf{J}}_{\nu }\left(z\right)$, the Weber function ${\mathbf{E}}_{\nu }\left(z\right)$, and the associated Anger–Weber function ${\mathbf{A}}_{\nu }\left(z\right)$.