Laguerre–Pólya class
- Category
- STANDARD MATHEMATICS
- Definition
- A class of real entire functions closely connected with real-zero geometry and limits of real-rooted polynomials.
- Math Level
- SPECIALIST
- Index Excerpt
- Laguerre-Pólya; real entire functions
Laguerre–Pólya class
The Laguerre–Pólya class is a class of real entire functions that can be obtained as locally uniform limits of real polynomials whose zeros are all real.
It is an important setting for studying real-zero geometry and inequalities involving entire functions.
See also: zero of a function. .