Struve L-function

L_ν(z) | = | (1/2 z)^(ν + 1) sum_(k = 0)^∞ (1/2 z)^(2k)/(Γ(k + 3/2) Γ(k + ν + 3/2)) | = | (2(1/2 z)^ν)/(sqrt(π)Γ(ν + 1/2)) integral_0^(π/2) sinh(z cos θ) sin^(2ν) θ d θ, where Γ(z) is the gamma function. L_ν(z) is related to the ordinary Struve function H_n(z) by L_n(z) = - i e^(-n π i/2) H_n(i z) (Abramowitz and Stegun 1972, p. 498).

Anger function | Struve function | Weber functions

StruveL

Hermann Struve