Derivatives and integrals with respect to the order of the Struve functions \(H_{\nu}(x)\) and \(L_{\nu}(x)\)
type: Item
instance of: scholarly article
title: Derivatives and integrals with respect to the order of the Struve functions \(H_{\nu}(x)\) and \(L_{\nu}(x)\)
zbMATH Open document ID: 0669.33009
DOI: 10.1016/0022-247X(89)90270-9
author: Alexander Apelblat
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 33C10
zbMATH DE Number: 4095885
zbMATH Keywords: cylinder functions
zbMATH Keywords: Bessel functions
zbMATH Keywords: Struve functions
reviewed by: Erwin O. Kreyszig
MaRDI profile type: Publication
cites work: Some Integrals of Gamma, Polygamma and Volterra Functions
cites work: Integral Representations of Derivatives and Integrals with Respect to the Order of the Bessel Functions Jv(t), Iv(t), the Anger Function Jv(t) and the Integral Bessel Function Jiv(t)
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cites work: On the Derivative of Bessel Functions with Respect to the Order
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description: scientific article; zbMATH DE number 4095885