Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 45, 2020, 451-466

COMPLEX OSCILLATION OF SOLUTIONS OF A THIRD ORDER ODE

Aimo Hinkkanen, Katsuya Ishizaki, Ilpo Laine and Kin Y. Li

University of Illinois at Urbana-Champaign, Department of Mathematics
1409 W. Green Street, Urbana, Illinois 61801-2975, U.S.A.; aimo 'at' math.uiuc.edu

The Open University of Japan, Faculty of Liberal Arts
Mihama-ku, Chiba, Japan; ishizaki 'at' ouj.ac.jp

University of Eastern Finland, Department of Physics and Mathematics
P.O. Box 111, FI-80101 Joensuu, Finland; ilpo.laine 'at' uef.fi

Hong Kong University of Science and Technology, Department of Mathematics
Clear Water Bay, Kowloon, Hong Kong; makyli 'at' ust.hk

Abstract. We solve a determinant problem related to a third order complex linear differential equation studied by Chiang, Laine and Wang. As a consequence, a simple procedure to explicit determination of the corresponding solutions is presented.

2010 Mathematics Subject Classification: Primary 34M10; Secondary 15A15.

Key words: Complex oscillation theory, exponent of convergence, special determinants.

Reference to this article: A. Hinkkanen, K. Ishizaki, I. Laine and K. Y. Li: Ann. Acad. Sci. Fenn. Math. 45 (2020), 451-466.

Full document as PDF file

https://doi.org/10.5186/aasfm.2020.4527