Asymptotic expansions of Fourier transforms of functions with logarithmic singularities
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 173-180 |
Journal / Publication | Journal of Mathematical Analysis and Applications |
Volume | 64 |
Issue number | 1 |
Publication status | Published - 1 Jun 1978 |
Externally published | Yes |
Link(s)
Abstract
Asymptotic expansion as x → +∞ is obtained for the infinite Fourier integral F(x) = ∝0
∞ f{hook}(t) eixt dt, in which f{hook}(t) has a logarithmic singularity of the type tα-1(-ln t)β at the origin. Here, Re α > 0 and β is an arbitrary complex number. © 1978.
Citation Format(s)
Asymptotic expansions of Fourier transforms of functions with logarithmic singularities. / Wong, R.; Lin, J. F.
In: Journal of Mathematical Analysis and Applications, Vol. 64, No. 1, 01.06.1978, p. 173-180.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review