Publication Cover
Applicable Analysis
An International Journal
Volume 83, 2004 - Issue 5
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Original Articles

On an Asymptotic Expansion of the Kontorovich–Lebedev Transform

Pages 447-460 | Received 08 Jan 2003, Published online: 07 Oct 2011

References

  • Lauwerier HA 1974 Asymptotic Analysis 2nd Edn Mathematisch Centrum Amsterdam
  • Magnus W Oberhettinger F Soni RP 1965 Formulas and Theorems for the Special Functions of Mathematical Physics, Springer-Verlag New York
  • McClure , JP and Wong , R . 1978 . Explicit error terms for asymptotic expansions of Stieltjes transforms . J. Inst. Maths. Applics. , 22 : 129 – 145 .
  • Naylor , D . 1990 . On an asymptotic expansion of the Kontorovich Lebedev transform . Applic. Analysis , 39 : 249 – 263 .
  • Olver , FWJ . 1974 . Error bounds for stationary phase approximations . SIAM J. Math. Anal. , 5 : 19 – 29 .
  • Titchmarsh EC 1950 Introduction to the theory of Fourier integrals Oxford University Press London
  • Wong R 1989 Asymptotic Approximations of Integrals, Academic Press San Diego CA
  • Wong , R . 1979 . Explicit error terms for asymptotic expansions of Mellin convolutions . J. Math. Anal &Appl. , 72 : 740 – 756 .

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