Description of zero sequences for holomorphic and meromorphic functions of finite $\lambda$-type in a closed half-strip

N. B. Sokulska

Department of Mechanics and Mathematics, Ivan Franko National University of L'viv, Universytets'ka str. 1, 79000, L'viv, Ukraine

Abstract: We describe the zero sets of holomorphic and meromorphic functions $f$ of finite $\lambda$-type in a closed half-strip satisfying $f(\sigma)=f(\sigma+2\pi i)$ on the boundary.

Keywords: holomorphic function, meromorphic function, function of finite $\lambda$-type, sequence of finite $\lambda$-density, $\lambda$-admissible sequence.

UDC: 517.53

MSC: 30D35

Received: 24.01.2014

Language: English

 English version: Ufa Mathematical Journal, 2014, 6:2, 121–125

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