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The Quarterly Journal of Mechanics and Applied Mathematics 1959 12(4):504-520; doi:10.1093/qjmam/12.4.504
© 1959 by Oxford University Press
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THE EVALUATION OF INTEGRALS OF PRODUCTS OF LINEAR SYSTEM RESPONSES

PART II. CONTINUED-FRACTION METHODS

A. TALBOT

( (Imperial College London) )

In Part I (1) it was shown that the evaluation of integrals of the forms and , where r = 0, 1, ..., and x and y have prescribed rational function

Laplace transforms, depends on the determination of polynomials u, v such that , where f, g, and N are prescribed polynomials. A method of solution t of this equation by means of continued fractions is dascribed which is more economical than standard methods.


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