Meromorphic functions of finite $\lambda$-type in a half-strip

N. B. Sokul's'ka


The Nevanlinna characteristic of meromorphic functions in a half-strip, such that $f(\sigma)=f(\sigma+ 2\pi i)$, is introduced, and its main properties are investigated. A criterion of $\lambda$-type finiteness of holomophic in the half-strip functions in terms of Fourier coefficient of $\log |f|$ is obtained.

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