On Periodic Meromorphic Functions
The first section of the note centres round the problem of constructing a periodic meromorphic function, with assigned poles and principal parts thereat, in a period strip. The second deals with rational functions of exp (2Ï€iz/Î»), the main theorem of the section giving a necessary and sufficient condition for a periodic meromorphic function to be such a rational function, in terms of its Nevanlinna characteristic function. Throughout it is supposed, for the sake of simplicity, that Î» is a positive number.
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