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Evaluation of integrals and the Mellin transform. (English. Russian original) Zbl 0725.44001

J. Sov. Math. 54, No. 6, 1239-1341 (1991); translation from Itogi Nauki Tekh., Ser. Mat. Anal. 27, 3-146 (1989).
A survey on calculation methods for integrals using the Mellin transform is suggested. The list of literature contains papers on various analytical methods for the calculation of integrals and consists of 1579 (the main) and 45 (additional) denominations.

MSC:

44A10 Laplace transform
44-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to integral transforms
33C60 Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions)
33-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to special functions
33C70 Other hypergeometric functions and integrals in several variables
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References:

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