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Tables of Integral Transforms

In: Nonlinear Partial Differential Equations for Scientists and Engineers

Author

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  • Lokenath Debnath

    (University of Texas, Pan American, Department of Mathematics)

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).

Suggested Citation

  • Lokenath Debnath, 2012. "Tables of Integral Transforms," Springer Books, in: Nonlinear Partial Differential Equations for Scientists and Engineers, edition 0, chapter 13, pages 675-687, Springer.
  • Handle: RePEc:spr:sprchp:978-0-8176-8265-1_13
    DOI: 10.1007/978-0-8176-8265-1_13
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