TY - JOUR
T1 - ON THE GENERAL ASYMPTOTIC EXPANSIONS OF HV (1)-TRANSFORM AND RELATED BESSEL TRANSFORMS
AU - Dai, Hui-Hui
N1 - Publication information for this record has been verified with the author(s) concerned.
PY - 1994/3/1
Y1 - 1994/3/1
N2 - Theorems are established to give the asymptotic expansions of Hv(1) - transforms and related Bessel transforms of functions which have general asymptotic expansions near the origin. The results are thus the extensions to those of the existing literature (e.g. Wong 1976, Soni 1982 and Soni&Soni 1985) which dealt with the cases that the functions have power expansions near the origin. Our approach uses a lemma proved in an earlier paper (Dai 1992) on the general asymptotic expansions of Kv - transforms and adopts a novel method to overcome divergent integrals.
AB - Theorems are established to give the asymptotic expansions of Hv(1) - transforms and related Bessel transforms of functions which have general asymptotic expansions near the origin. The results are thus the extensions to those of the existing literature (e.g. Wong 1976, Soni 1982 and Soni&Soni 1985) which dealt with the cases that the functions have power expansions near the origin. Our approach uses a lemma proved in an earlier paper (Dai 1992) on the general asymptotic expansions of Kv - transforms and adopts a novel method to overcome divergent integrals.
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U2 - 10.1524/anly.1994.14.1.19
DO - 10.1524/anly.1994.14.1.19
M3 - RGC 21 - Publication in refereed journal
SN - 0174-4747
VL - 14
SP - 19
EP - 42
JO - Analysis (Germany)
JF - Analysis (Germany)
IS - 1
ER -