Geodesic
Theorems of Tauberian type on the distribution of zeros of holomorphic functions
Sbornik. Mathematics, Tome 51 (1985) no. 2, pp. 315-344 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $f(\lambda)$ and $g(\lambda)$ be holomorphic functions of finite order in a sector $\Lambda$, and let $n(f,r)$ and $n(g,r)$ be the distribution functions of their zeros inside this sector. Theorems established in this article permit the assertion that $n(f,r)$ and $n(g,r)$ are equivalent if $f(\lambda)$ and $g(\lambda)$ differ “little” on the boundary of $\Lambda$. In the second part of the article domains bounded by curves of parabola type are considered instead of a sector $\Lambda$, and theorems are established which generalize and strengthen Tauberian theorems with a remainder for the distributions of zeros of entire functions and for Stieltjes transforms. Bibliography: 28 titles. 
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     title = {Theorems of {Tauberian} type on the distribution of zeros of holomorphic functions},
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A. A. Shkalikov. Theorems of Tauberian type on the distribution of zeros of holomorphic functions. Sbornik. Mathematics, Tome 51 (1985) no. 2, pp. 315-344. http://geodesic.mathdoc.fr/item/SM_1985_51_2_a1/

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