A note on asymptotic evaluation of some hankel transforms

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Author(s)

  • C. L. Frenzen
  • R. Wong

Detail(s)

Original languageEnglish
Pages (from-to)537-548
Journal / PublicationMathematics of Computation
Volume45
Issue number172
Publication statusPublished - Oct 1985
Externally publishedYes

Abstract

Asymptotic behavior of the integral '((w) = r e-"%(wx)f(x2)xdx is investigated, where J0(x) is the Bessel function of the first kind and w is a large positive parameter. It is shown that IAw) decays exponentially like e y"', y 0, when (z) is an entire function subject to a suitable growth condition. A complete asymptotic expansion is obtained when (z) is a meromorphic function satisfying the same growth condition. Similar results are given when (z) has some specific branch point singularities. © 1985 American Mathematical Society.

Research Area(s)

  • Asymptotic expansion, Bessel functions, Hankel transform, Laplace's method

Citation Format(s)

A note on asymptotic evaluation of some hankel transforms. / Frenzen, C. L.; Wong, R.

In: Mathematics of Computation, Vol. 45, No. 172, 10.1985, p. 537-548.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal