Asymptotic expansions of Hankel transforms of functions with logarithmic singularities

R. Wong

doi:10.1016/0898-1221(77)90084-0

Asymptotic expansions of Hankel transforms of functions with logarithmic singularities

R. Wong

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

9 Citations (Scopus)

Abstract

Asymptotic expansions as λ → +∞ are obtained for the Hankel transform Ω_V(λ)= ∫ 0 ∞J_V(λt)f(t)dtwhereJ_v(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 ∞C_nt^α(-lnt)_n ^βHere, Re α_n _n ↑ +∞ and β_n is an arbitrary complex number. © 1977.

Original language	English
Pages (from-to)	271-286
Journal	Computers and Mathematics with Applications
Volume	3
Issue number	4
DOIs	https://doi.org/10.1016/0898-1221(77)90084-0
Publication status	Published - 1977
Externally published	Yes

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title = "Asymptotic expansions of Hankel transforms of functions with logarithmic singularities",

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 \textbackslash{}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. {\textcopyright} 1977.",

author = "R. Wong",

year = "1977",

doi = "10.1016/0898-1221(77)90084-0",

language = "English",

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pages = "271--286",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

publisher = "Elsevier Ltd.",

number = "4",

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TY - JOUR

T1 - Asymptotic expansions of Hankel transforms of functions with logarithmic singularities

AU - Wong, R.

PY - 1977

Y1 - 1977

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/50849149088

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-50849149088&origin=recordpage

U2 - 10.1016/0898-1221(77)90084-0

DO - 10.1016/0898-1221(77)90084-0

M3 - RGC 21 - Publication in refereed journal

SN - 0898-1221

VL - 3

SP - 271

EP - 286

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 4

ER -

Asymptotic expansions of Hankel transforms of functions with logarithmic singularities

Abstract

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