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Abstract

In this chapter, we provide a set of short tables of integral transforms of the functions that are either cited in the text or are in most common use in mathematical, physical, and engineering applications. For exhaustive lists of integral transforms, the reader is referred to Erdélyi et al. (Tables of Integral Transforms, Vols. 1 and 2, 1954), Campbell and Foster (Fourier Integrals for Practical Applications, 1948), Ditkin and Prudnikov (Integral Transforms and Operational Calculus, 1965), Doetsch (Introduction to the Theory and Applications of the Laplace Transformation, 1970), Marichev (1983), Debnath (1995), Debnath and Bhatta (Integral Transforms and Their Applications, 2nd edition, 2007), Oberhettinger (Tables of Bessel Transforms, 1972).

Keywords

Differential Equation Fourier Transform Partial Differential Equation Mathematical Method Engineering Application 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Bibliography

  1. Campbell, G.A. and Foster, R.M. (1948). Fourier Integrals for Practical Applications, Van Nostrand, New York. Google Scholar
  2. Debnath, L. (1995). Integral Transforms and Their Applications, CRC Press, Boca Raton. Google Scholar
  3. Debnath, L. and Bhatta, D. (2007). Integral Transforms and Their Applications, 2nd edition, Chapman & Hall/CRC Press, Boca Raton. Google Scholar
  4. Ditkin, V.A. and Prudnikov, A.P. (1965). Integral Transforms and Operational Calculus, Pergamon Press, Oxford. Google Scholar
  5. Doetsch, G. (1970). Introduction to the Theory and Applications of the Laplace Transformation, Springer, New York. Google Scholar
  6. Erdélyi, A., Magnus, W., Oberhettinger, F., and Tricomi, F. (1954). Tables of Integral Transforms, Vols. 1 and 2, McGraw-Hill, New York. Google Scholar
  7. Marichev, O.I. (1983). Handbook of Integral Transforms of Higher Transcendental Functions, Theory and Algorithmic Table, Ellis Hoorwood, West Sussex. Google Scholar
  8. Oberhettinger, F. (1972). Tables of Bessel Transforms, Springer, New York. Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Texas, Pan AmericanEdinburgUSA

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