The indicator of entire functions with rapidly oscillating coefficients
Let f(z)=∑^∞_{n=0} c_n z^n be an entire function of order ρ_f∈(0,+∞) , let σ_f and h_f(θ) be the type and the indicator of the function f, respectively, let (p_n) be a sequence of positive integers with Hadamard gaps and f_t(z)=∑^∞_{n=0}e^{ip_n t} c_n z^n, where t∈R. Then, for almost every t∈R...
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| Format: | Article |
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Ivan Franko National University of Lviv
2011-05-01
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| Series: | Математичні Студії |
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| Online Access: | http://matstud.org.ua/texts/2011/35_2/142-148.pdf |
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| author | P. V. Filevych |
| author_facet | P. V. Filevych |
| author_sort | P. V. Filevych |
| collection | DOAJ |
| description | Let f(z)=∑^∞_{n=0} c_n z^n be an entire function of order ρ_f∈(0,+∞) , let σ_f and h_f(θ) be the type and the indicator of the function f, respectively, let (p_n) be a sequence of positive integers with Hadamard gaps and f_t(z)=∑^∞_{n=0}e^{ip_n t} c_n z^n, where t∈R. Then, for almost every t∈R , the equality h_{f_t}(θ)=σ_f holds for every θ∈R. |
| format | Article |
| id | doaj-art-4e1fe0030f4c46d59681f7c1c55c43ea |
| institution | Kabale University |
| issn | 1027-4634 |
| language | deu |
| publishDate | 2011-05-01 |
| publisher | Ivan Franko National University of Lviv |
| record_format | Article |
| series | Математичні Студії |
| spelling | doaj-art-4e1fe0030f4c46d59681f7c1c55c43ea2025-08-20T03:33:20ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342011-05-01352142148The indicator of entire functions with rapidly oscillating coefficientsP. V. FilevychLet f(z)=∑^∞_{n=0} c_n z^n be an entire function of order ρ_f∈(0,+∞) , let σ_f and h_f(θ) be the type and the indicator of the function f, respectively, let (p_n) be a sequence of positive integers with Hadamard gaps and f_t(z)=∑^∞_{n=0}e^{ip_n t} c_n z^n, where t∈R. Then, for almost every t∈R , the equality h_{f_t}(θ)=σ_f holds for every θ∈R.http://matstud.org.ua/texts/2011/35_2/142-148.pdfindicator of entire functionHadamard gap |
| spellingShingle | P. V. Filevych The indicator of entire functions with rapidly oscillating coefficients Математичні Студії indicator of entire function Hadamard gap |
| title | The indicator of entire functions with rapidly oscillating coefficients |
| title_full | The indicator of entire functions with rapidly oscillating coefficients |
| title_fullStr | The indicator of entire functions with rapidly oscillating coefficients |
| title_full_unstemmed | The indicator of entire functions with rapidly oscillating coefficients |
| title_short | The indicator of entire functions with rapidly oscillating coefficients |
| title_sort | indicator of entire functions with rapidly oscillating coefficients |
| topic | indicator of entire function Hadamard gap |
| url | http://matstud.org.ua/texts/2011/35_2/142-148.pdf |
| work_keys_str_mv | AT pvfilevych theindicatorofentirefunctionswithrapidlyoscillatingcoefficients AT pvfilevych indicatorofentirefunctionswithrapidlyoscillatingcoefficients |