A note on asymptotic evaluation of some Hankel transforms

Authors:
C. L. Frenzen and R. Wong

Journal:
Math. Comp. **45** (1985), 537-548

MSC:
Primary 41A60; Secondary 44A15, 65R10

DOI:
https://doi.org/10.1090/S0025-5718-1985-0804942-4

MathSciNet review:
804942

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Abstract | References | Similar Articles | Additional Information

Abstract: Asymptotic behavior of the integral

*w*is a large positive parameter. It is shown that decays exponentially like , , when is an entire function subject to a suitable growth condition. A complete asymptotic expansion is obtained when is a meromorphic function satisfying the same growth condition. Similar results are given when has some specific branch point singularities.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1985-0804942-4

Keywords:
Asymptotic expansion,
Hankel transform,
Bessel functions,
Laplace's method

Article copyright:
© Copyright 1985
American Mathematical Society