In this paper, we present a mixed type integral-sum representation of the cylinder functions C_? (z), which holds for unrestricted complex values of the order ? 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.
On the representation of cylinder functions
Enrico De Micheli
2020
Abstract
In this paper, we present a mixed type integral-sum representation of the cylinder functions C_? (z), which holds for unrestricted complex values of the order ? 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.File in questo prodotto:
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