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On the representation of cylinder functions

133   0   0.0 ( 0 )
 Added by Enrico De Micheli
 Publication date 2019
  fields Physics
and research's language is English




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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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