On the representation of cylinder functions
| Autor: | E. De Micheli |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Integral representation
Applied Mathematics Mathematical analysis Representation (systemics) FOS: Physical sciences Order (ring theory) Value (computer science) Mixed type 33C10 40C10 33B20 Mathematical Physics (math-ph) Mathematics - Classical Analysis and ODEs Classical Analysis and ODEs (math.CA) FOS: Mathematics Cylinder Mathematical Physics Analysis Mathematics |
| Zdroj: | Integral Transforms and Special Functions. 31:769-787 |
| ISSN: | 1476-8291 1065-2469 |
| Popis: | In this paper, we present a mixed-type integral-sum representation of the cylinder functions $\mathscr{C}_\mu(z)$, which holds for unrestricted complex values of the order $\mu$ and for any complex value of the variable $z$. Particular cases of these representations and some applications, which include the discussion of limiting forms and representations of related functions, are also discussed. Comment: 17 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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