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arXiv · 1905.11283

On the representation of cylinder functions

Enrico De Micheli
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Abstract

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.

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Enrico De Micheli. 2019-05-27. On the representation of cylinder functions. https://arxiv.org/abs/1905.11283

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