Asymptotic expansions of Hankel transforms of functions with logarithmic singularities

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

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Author(s)

  • R. Wong

Detail(s)

Original languageEnglish
Pages (from-to)271-286
Journal / PublicationComputers and Mathematics with Applications
Volume3
Issue number4
Publication statusPublished - 1977
Externally publishedYes

Abstract

Asymptotic expansions as λ → +∞ are obtained for the Hankel transform ΩV(λ)= ∫ 0 ∞JV(λt)f(t)dtwhereJv(t) is the Bessel function of the first kind and v is a fixed complex number. The function \tf(t) is allowed to have an asymptotic expansion near the origin of the form f(t)∼ ∑ n=0 ∞Cntα(-lnt)n β Here, Re αn n ↑ +∞ and βn is an arbitrary complex number. © 1977.