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Mellin transforms and asymptotics

✍ Scribed by Philippe Flajolet; Mordecai Golin

Publisher
Springer-Verlag
Year
1994
Tongue
English
Weight
967 KB
Volume
31
Category
Article
ISSN
0001-5903

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πŸ“œ SIMILAR VOLUMES

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The finite and infinite harmonic sums form the general basis for the Mellin transforms of all individual functions fi(x) describing inclusive quantities such as coefficient and splitting functions which emerge in massless field theories. We discuss the mathematical structure of these quantities.

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✍ F. Schipp; W.R. Wade πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 150 KB

We show that the Mellin transform on any binary field can be extended to a bounded linear isometry on L 2 . We also obtain an explicit formula for the corresponding inverse Mellin transform and prove that inversion holds when the Mellin transform is integrable.