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Generating differential equations satisfied by products of functions

โœ Scribed by K.C. Chung


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
215 KB
Volume
14
Category
Article
ISSN
0893-9659

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โœฆ Synopsis


Based on the coefficients of two homogeneous linear differential equations, a method is proposed to construct a third homogeneous linear differential equations which is satisfied by all products of the form uv, where u and v satisfy, respectively, the first and the second given differential equation. The method was used recently in the computation of rapidly oscillatory integrals with kernels which are products of Bessel functions and their variants. (~) 2001 Elsevier Science Ltd. All rights reserved.


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