This article is cited in 3 scientific papers (total in 3 papers)
Exact estimates of types of entire functions of an order $\rho\in(0;1)$ with zeroes on the ray
G. G. Braichev
Moscow State Pedagogical University, Moscow, Russia
This paper is a detailed account of the author's report made during VI Ufa international conference “Complex analysis and differential equations”, devoted to the 70-th anniversary of Corresponding member of RAS V. V. Napalkov. Sharp lower estimates of an entire function type of a finite order with respect to such wellknown characteristics of the distribution of its zeros as the density (conventional and average), step and lacunarity index. The solution of one new extremal problem is also given.
type of an entire function, the upper and lower (average) density of zeros, step and lacunarity index of a sequence of zeros.
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G. G. Braichev, “Exact estimates of types of entire functions of an order $\rho\in(0;1)$ with zeroes on the ray”, Ufimsk. Mat. Zh., 4:1 (2012), 29–37
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\paper Exact estimates of types of entire functions of an order $\rho\in(0;1)$ with zeroes on the ray
\jour Ufimsk. Mat. Zh.
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G. G. Braichev, “Exact relationships between certain characteristics of growth for complex sequences”, Ufa Math. J., 5:4 (2013), 16–29
G. G. Braichev, “The exact bounds of lower type magnitude for entire function of order $\rho\in(0,1)$ with zeros of prescribed average densities”, Ufa Math. J., 7:4 (2015), 32–57
V. B. Sherstyukov, “Asimptoticheskie svoistva tselykh funktsii s zadannym zakonom raspredeleniya kornei”, Kompleksnyi analiz. Tselye funktsii i ikh primeneniya, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 161, VINITI RAN, M., 2019, 104–129
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