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Generalized convolutions for the Hankel transform and related integral operators

✍ Scribed by Lyubov' E. Britvina

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
132 KB
Volume
280
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

The present research is devoted to some polyconvolutions generated by various integral transforms. For example, we study convolutions for the Hankel transform H__ν__ f with the following factorization properties:

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Conditions for the existence of the constructed generalized convolutions are found.

The results of this research are applied to construct and study integral transforms related to these polyconvolutions. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Asymptotic Expansion and Generalized Schläfli Integral Representation for the Eigenfunction of a Singular Second-Order Differential Operator
✍ M.N Lazhari; L.T Rachdi; K Trimèche 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 288 KB

In this work we consider the eigenfunction V , t satisfying a condition at Ž . infinity of a singular second order differential operator on 0, qϱ . We give an < < asymptotic expansion of this solution with respect to the variable as ª qϱ, which permits us to establish a generalized Schlafli integral