𝔖 Bobbio Scriptorium
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On Hankel and Mellin transforms

✍ Scribed by Mullineux, N.; Reed, J.R.


Book ID
120940060
Publisher
Taylor and Francis Group
Year
1978
Tongue
English
Weight
288 KB
Volume
9
Category
Article
ISSN
0020-739X

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πŸ“œ SIMILAR VOLUMES


On Hankel Transforms
✍ Offord, A. C. πŸ“‚ Article πŸ“… 1935 πŸ› Oxford University Press 🌐 English βš– 398 KB
Mellin transforms and asymptotics
✍ Philippe Flajolet; Mordecai Golin πŸ“‚ Article πŸ“… 1994 πŸ› Springer-Verlag 🌐 English βš– 967 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.

A Note on Hankel Transforms
✍ Titchmarsh, E. C. πŸ“‚ Article πŸ“… 1926 πŸ› Oxford University Press 🌐 English βš– 52 KB
Harmonic sums and mellin transforms
✍ 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.