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A convergent asymptotic representation for integrals*

Published online by Cambridge University Press:  24 October 2008

Joel Franklin  and
Bernard Friedman
Joel Franklin
Affiliation:
New York University New York
Bernard Friedman
Affiliation:
New York University New York
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Abstract

This paper represents a new method for obtaining an asymptotic representation for integrals of the form when p is large. It is shown that if f(x) satisfies certain conditions this representation is also convergent. Numerical calculations seem to show that the first term of the representation gives a close approximation to the value of the integral for a wide range of values of p.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 3 , July 1957 , pp. 612 - 619
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

REFERENCES

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(3)Whittaker, E. T. and Watson, G. N., Modern analysis (Cambridge, 1927).Google Scholar