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Multiple Interpolation With the Fast-Growing Knots in the Class of Entire Functions and Its Application
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نویسنده
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Sheparovych I.
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منبع
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Iranian Journal Of Numerical Analysis And Optimization - 2022 - دوره : 12 - شماره : 1 - صفحه:131 -144
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چکیده
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The conditions for the sequence of complex numbers (bn,k) are obtained, such that the interpolation problem g(^𝑘-1)(λn) = bn,𝑘, 𝑘 ∈ 1, s, n ∈ n, where |λ𝑘/λ𝑘+1| ≤ ∆ < 1, has a unique solution in some classes of entire functions g for which mg(r) ≤ c1 exp ((s 1)n(r) + n(ρ1r)), where n(r) is the counting function of the sequence (λn), ρ1 ∈ (∆; 1), and c1 > 0. moreover, these results have been applied to the description of the solution of the differential equation f^(s) +𝐴𝑂(𝑧)f = 0 for which (λn) is zerosequence and the coeffcient 𝐴𝑂 is an entire function from the mentioned class.
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کلیدواژه
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Interpolation Problem ,Entire Function ,Solution Of Differential Equation
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آدرس
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Ivan Franko State Pedagogical Institute Of DrohobychFranko State Pedagogical Institute Of Drohobych, Department Of Physics, Mathematics, Economy And Innovative Technologies, Ukraine
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پست الکترونیکی
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isheparovych@ukr.net
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Authors
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