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Zbl 0669.33009
Apelblat, Alexander
Derivatives and integrals with respect to the order of the Struve functions $H\sb{\nu}(x)$ and $L\sb{\nu}(x)$.
(English)
[J] J. Math. Anal. Appl. 137, No.1, 17-36 (1989). ISSN 0022-247X

In continuation of similar work for $J\sb{\nu}$, 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 $L\sb{\nu}$ are obtained from those for $H\sb{\nu}$ by the familiar relation between these two functions. 5S-tables of the associated Volterra function and of some auxiliary integrals are included.
[E.Kreyszig]
MSC 2000:
*33C10 Cylinder functions, etc.

Keywords: cylinder functions; Bessel functions; Struve functions

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