THE SUMMARY EQUATION FOR FUNCTIONS ANALYTICAL OUTSIDE FOUR SQUARES. APPLICATIONS
We consider the lacunary Stieltjes moment problem ∞ ∫𝐹(𝑥)𝑥^(4𝑛+1) exp(−𝑥) 𝑑𝑥 = 𝛽_𝑛, 𝑛 = 0, 1, 2. 0 We search for a solution in the class of entire functions of the exponential type that satisfy the condition 𝐹(𝑖𝑧) = 𝐹(𝑧). Their indicator diagram is a certain octagon. We construct nontrivial sol...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Petrozavodsk State University
2020-06-01
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| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=7930&lang=ru |