@article{e785307b2c264390b9b8731f830f2942, title = "On the general asymptotic expansions of kυ-transforms", abstract = "Theorems are established to obtain the general asymptotic expansions of the Kυ-transforms. It is shown that, under certain circumstances, the asymptotic expansion of Kυ-transform F(s) as s → 0+ or s → ∞ is obtained by integrating term by term the asymptotic expansion of the function at t → ∞ or t → 0+. In the case that the function has a power expansion, the treatment of this problem can be found in the existing literature (e.g. [4],[5]). In this paper we assume that the function has a general expansion form. Three examples, including the case that the function has an exponentially small behaviour at the origin, are discussed. ", keywords = "Asymptotic expansion, Kυ-transform", author = "Dai, {H. H.}", note = "Publication information for this record has been verified with the author(s) concerned.", year = "2007", month = may, day = "10", doi = "10.1080/00036819208840118", language = "English", volume = "46", pages = "157--174", journal = "Applicable Analysis", issn = "0003-6811", publisher = "TAYLOR & FRANCIS LTD", number = "3-4", }