Derivatives and integrals with respect to the order of the Struve functions \(H_{\nu}(x)\) and \(L_{\nu}(x)\)
In continuation of similar work for \(J_{\nu}\), the author obtains these derivatives and integrals (from 0 to \(\infty)\) in the form of integrals by differentiating or integrating, respectively, an integral representation of the given functions, or by the Laplace transform method. Results for \(L_{\nu}\) are obtained from those for \(H_{\nu}\) by the familiar relation between these two functions. 5S-tables of the associated Volterra function and of some auxiliary integrals are included.
scientific article; zbMATH DE number 4095885
scientific article