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11 Struve and Related FunctionsNotation

§11.1 Special Notation

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

x real variable.
z complex variable.
ν real or complex order.
n integer order.
k nonnegative integer.
δ arbitrary small positive constant.

Unless indicated otherwise, primes denote derivatives with respect to the argument. For the functions Jν(z), Yν(z), Hν(1)(z), Hν(2)(z), Iν(z), and Kν(z) see §§10.2(ii), 10.25(ii).

The functions treated in this chapter are the Struve functions 𝐇ν(z) and 𝐊ν(z), the modified Struve functions 𝐋ν(z) and 𝐌ν(z), the Lommel functions sμ,ν(z) and Sμ,ν(z), the Anger function 𝐉ν(z), the Weber function 𝐄ν(z), and the associated Anger–Weber function 𝐀ν(z).