| Authors: | Simić, Slavko | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On a property of entire functions with almost negative zeros | Journal: | Applicable Analysis and Discrete Mathematics | Volume: | 1 | Issue: | 2 | First page: | 353 | Last page: | 359 | Issue Date: | 1-Oct-2007 | ISSN: | 1452-8630 | DOI: | 10.2298/AADM0702353S | Abstract: | We give a generalization of well-known Valiron-Titchmarsh theorem on entire functions with negative zeros. Namely, we prove that (-1)p log P(r) 22 ∈ ER[p,p+1], where P(r) denotes the canonical product of an entire function with genus p and almost negative zeros and ER is the class of extended regular variation. |
Keywords: | Almost negative zeros | Entire functions of finite order | Extended regular variation | Publisher: | School of Electrical Engineering, University of Belgrade |
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