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Solutions of higher order linear differential equations in an angle

✍ Scribed by Junfeng Xu; Hongxun Yi

Book ID
104000567
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
427 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this paper, we discuss the higher order linear differential equation

an angle. We apply Nevanlinna sectorial theory to estimate the growth of solutions of the equation restricted in the angle and prove the existence of asymptotic value of the derivative of solutions of the equation in the angle. By using these results we can improve some known results in the plane.

πŸ“œ SIMILAR VOLUMES

Liouvillian Solutions of Linear Differen
Liouvillian Solutions of Linear Differential Equations of Order Three and Higher
✍ Mark Van Hoeij; Jean-FranΓ§ois Ragot; Felix Ulmer; Jacques-Arthur Weil πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 421 KB

Singer and Ulmer (1997) gave an algorithm to compute Liouvillian ("closed-form") solutions of homogeneous linear differential equations. However, there were several efficiency problems that made computations often not practical. In this paper we address these problems. We extend the algorithm in