𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Number of the Zeros of Solutions of a Linear Differential Equation

✍ Scribed by Marcellino Gaudenzi

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
259 KB
Volume
221
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On the Number of Solutions of a Linear E
On the Number of Solutions of a Linear Equation over Finite Sets
✍ Vsevolod F. Lev πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 300 KB

The largest possible number of representations of an integer in the k-fold sumset kA=A+ } } } +A is maximal for A being an arithmetic progression. More generally, consider the number of solutions of the linear equation where c i {0 and \* are fixed integer coefficients, and where the variables a i

On Rational Solutions of Systems of Line
On Rational Solutions of Systems of Linear Differential Equations
✍ Moulay A. Barkatou πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 403 KB

Let K be a field of characteristic zero and M(Y ) = N a system of linear differential equations with coefficients in K(x). We propose a new algorithm to compute the set of rational solutions of such a system. This algorithm does not require the use of cyclic vectors. It has been implemented in Maple

Zero distribution of solutions of comple
Zero distribution of solutions of complex linear differential equations determines growth of coefficients
✍ Janne Heittokangas; Jouni RΓ€ttyΓ€ πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 121 KB

It is shown that the exponent of convergence Ξ»(f ) of any solution f of In the unit disc analogue of this result certain intersections of weighted Bergman spaces take the role of polynomials. The key idea in the proofs is W. J. Kim's 1969 representation of coefficients in terms of ratios of linearl