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Tables of Mellin transforms

✍ Scribed by F. Oberhettinger


Book ID
127427991
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Year
1974
Tongue
English
Weight
2 MB
Category
Library
ISBN
3540069429

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πŸ“œ SIMILAR VOLUMES


Mellin transforms and asymptotics
✍ Philippe Flajolet; Mordecai Golin πŸ“‚ Article πŸ“… 1994 πŸ› Springer-Verlag 🌐 English βš– 967 KB
Numerical inversion of Mellin transforms
✍ G. Tsamasphyros; P. S. Theocaris πŸ“‚ Article πŸ“… 1976 πŸ› Springer Netherlands 🌐 English βš– 554 KB
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✍ Johannes BlΓΌmlein πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 196 KB

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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✍ D. Bessis; G. Servizi; G. Turchetti; S. Vaienti πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 244 KB
Mellin Transforms on Binary Fields
✍ 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.