On interpolation problem with derivative in the space of entire functions with fast-growing interpolation knots
Journal Title: Математичні Студії - Year 2019, Vol 51, Issue 1
Abstract
In the paper are obtained the conditions on a sequence (bk,1;bk,2), k∈N, such that the interpolation problem g(λk)=bk,1, g′(λk)=bk,2 has a unique solution in a subspace of entire functions g that satisfy the condition lnMg(r)≤c1exp(N(r)+N(ρ1r)), where |λk/λk+1|≤Δ≤1, and N(r) is Nevanlinna counting function of the sequence (λk). These results have been applied to the description of the solutions of the differential equation f′′+a0f=0 with a coefficient a0 from the some space of entire functions.
Authors and Affiliations
B. V. Vynnyts’kyi, I. B. Sheparovych
Keywords
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- EP ID EP584893
- DOI 10.15330/ms.51.1.50-58
- Views 53
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