Publication Cover
Applicable Analysis
An International Journal
Volume 12, 1981 - Issue 3
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Original Articles

Asymptotic expansions of the kontorovich—lebedev transform

Pages 161-172 | Received 16 Jul 1980, Published online: 10 May 2007

References

  • Carrier , G. , Krook , M. and Pearson , C. 1966 . Functions of a Complex Variable , New York : McGraw-Hill .
  • Ditkin , V. A. and Prudnikov , A. P. 1965 . Integral Transforms and Operational Calculus , Oxford : Pcrgamon Press .
  • Erdélyi , A. , Magnus , W. , Oberhettinger , F. and Tricomi , F. 1953 . Tables of Integral Transforms , Vol. 2 , New York : McGraw-Hill .
  • Erdélyi , A. 1961 . General asymptotic expansions of Laplace integrals . Arch. Rational Meek. Anal. , 7 : 1 – 20 .
  • Lebedev , N. N. , Skalskaya , I. P. and Uflyand , Y. S. 1965 . Worked Problems in Applied aMathematics , New York : Dover .
  • Lebedev , N. N. 1965 . Special Functions and Their Applications , Englewood, Cliffs : Prentice-Hail .
  • McClure , J. P. and Wong , R. 1978 . Explicit error terms for asymptotic expansions of Stiekjestransforms . J. Inst. Math. Appl. , 22 : 129 – 145 .
  • Mohsen , A. and Hamid , M. A. K. 1973 . Diffraction by a dielectric-loaded wedge . Radio Science , 8 : 71 – 80 .
  • Oberhettinger , F. 1958 . On the diffraction and reflection of waves and pulses by wedges and corners . J. Res. Nat. Bur. Standards , 61 : 343 – 365 .
  • Oberhettinger , F. 1972 . Tables of Bessel Transforms , Berlin and New York : Springer-Verlag .
  • Wong , R. 1979 . Explicit error terms for asymptotic expansions of Mellin convolutions . J. Math. Anal Appl. , 72 : 740 – 756 .
  • Wong , R. 1980 . Error bounds for asymptotic expansions of integrals . SIAM Rev. , 22 : 401 – 435 .
  • Wong , R. and Wyman , M. 1972 . A generalization of Watson's lemma . Can. J. Math. , 24 : 185 – 208 .

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