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).
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Bibliography
Campbell, G.A. and Foster, R.M. (1948). Fourier Integrals for Practical Applications, Van Nostrand, New York.
Debnath, L. (1995). Integral Transforms and Their Applications, CRC Press, Boca Raton.
Debnath, L. and Bhatta, D. (2007). Integral Transforms and Their Applications, 2nd edition, Chapman & Hall/CRC Press, Boca Raton.
Ditkin, V.A. and Prudnikov, A.P. (1965). Integral Transforms and Operational Calculus, Pergamon Press, Oxford.
Doetsch, G. (1970). Introduction to the Theory and Applications of the Laplace Transformation, Springer, New York.
Erdélyi, A., Magnus, W., Oberhettinger, F., and Tricomi, F. (1954). Tables of Integral Transforms, Vols. 1 and 2, McGraw-Hill, New York.
Marichev, O.I. (1983). Handbook of Integral Transforms of Higher Transcendental Functions, Theory and Algorithmic Table, Ellis Hoorwood, West Sussex.
Oberhettinger, F. (1972). Tables of Bessel Transforms, Springer, New York.
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Debnath, L. (2012). Tables of Integral Transforms. In: Nonlinear Partial Differential Equations for Scientists and Engineers. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8265-1_13
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DOI: https://doi.org/10.1007/978-0-8176-8265-1_13
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