Publication Cover
Applicable Analysis
An International Journal
Volume 39, 1990 - Issue 4
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Original Articles

On an asymptotic expansion of the kontorovich-lebedev transform

Pages 249-263 | Received 18 Nov 1989, Published online: 02 May 2007

References

  • Magnus , W. , Oberhettinger , F. and Soni , R.P. 1965 . Formulas and Theorems for the Special Functions of Mathematical Physics , New York : Springer-Verlag .
  • Wong , R. 1981 . Asymptotic Expansions of the Kontorovich-Lebedev Transform . Applic. Analysis , 12 : 161 – 172 .
  • Olver , F. W. J. 1974 . Error Bounds for Stationary Phase Approximations . SIAM J. Math. Anal , 5 : 19 – 29 .
  • Lauwerier , H. A. 1974 . Asymptotic Analysis , Amsterdam : Mahtematisch Centrum .
  • Olver , F. W. J. 1974 . Asymptotics and Special Functions , New York : Academic Press .
  • Erdelyi , A. 1961 . General Asymptotic Expansions of Laplace Integrals . Arch. Rational Mech. Anal , 7 : 1 – 20 .
  • McClure , J. P. and Wong , R. 1978 . Explicit Error Terms for Asymptotic Expansions of Stieltjes Transforms . J. Inst. Maths. Applies , 22 : 129 – 145 .
  • Hobson , E. W. 1955 . The Theory of Spherical and Ellipsoidal Harmonics , New York : Chelsea Publishing Company .

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