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Asymptotic expansions of Hankel transforms of functions with logarithmic singularities. (English) Zbl 0364.44002

##### MSC:
 44A15 Special transforms (Legendre, Hilbert, etc.)
Full Text:
##### References:
 [1] Slonovskii, N. V.: Asymptotic expansions of Hankel transforms. Izv. vysš. Učebn. zaved mat. 72, 86-90 (1968) [2] Handelsman, R. A.; Lew, J. S.: Asymptotic expansion of a class of integral transforms with algebraically dominated kernels. J. math. Analysis applic. 35, 405-433 (1971) · Zbl 0214.36702 [3] Mackinnon, R. F.: The asymptotic expansions of Hankel transforms and related integrals. Math. comput. 26, 515-527 (1972) · Zbl 0238.44005 [4] Wong, R.: Error bounds for asymptotic expansions of Hankel transform. SIAM J. Math. anal. 7, 799-808 (1976) · Zbl 0339.44003 [5] Erdélyi, A.: General asymptotic expansions of Laplace integrals. Archs ration. Mech. analysis 7, 1-20 (1961) · Zbl 0097.08802 [6] Wong, R.; Wyman, M.: A generalization of Watson’s lemma. Can. J. Math. 24, 185-208 (1972) · Zbl 0278.41032 [7] Riekstins, E.: Asymptotic expansions for some type of integrals involving logarithms. Latvian math. Yearbook 15, 113-130 (1974) · Zbl 0298.41019 [8] Norman Bleistein, Asymptotic expansions of integral transforms of functions with logarithmic singularities. SIAM J. math. Anal., to appear. · Zbl 0361.42016 [9] Erdélyi, A.; Wyman, M.: The asymptotic evaluation of certain integrals. Archs ration mech. Analysis 14, 217-260 (1963) · Zbl 0168.37903 [10] Luke, Y. L.: Integrals of Bessel functions. (1962) · Zbl 0106.04301 [11] Luke, Y. L.: The special functions and their approximations. 1 (1969) · Zbl 0193.01701 [12] R. Wong and J. F. Lin, Asymptotic expansions of Fourier transforms of functions with logarithmic singularities, J. math. Analysis and Applic. (to appear). · Zbl 0394.42005