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On the construction of solutions of linear differential equations according to given sequences. (English. Ukrainian original) Zbl 1403.34069

Ukr. Math. J. 69, No. 10, 1668-1671 (2018); translation from Ukr. Mat. Zh. 69, No. 10, 1437-1440 (2017).
Summary: We consider the problem under what conditions the equation \(f'' + Af = 0\) possesses an entire (meromorphic) solution with given sequences of zeros (poles) and critical points. The results are extended to equations of higher orders.

MSC:

34M05 Entire and meromorphic solutions to ordinary differential equations in the complex domain
34M03 Linear ordinary differential equations and systems in the complex domain
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