The separation of zeros for entire functions of exponential type
β Scribed by W.J Walker
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 112 KB
- Volume
- 122
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
We obtain, for entire functions of exponential type, a complementary result and a generalization of a quadrature formula with nodes at the zeros of Bessel functions. Our formula contains a sequence of rational fractions whose properties are studied.
## 1 Ε½ . x 4 q my1h , and E E denotes the restriction to the real line β«ήβ¬ of entire j g β«ήβ¬ 2 functions of exponential type . From this connection, we solve two extremal problems of some fundamental classes of functions defined of β«.ήβ¬
For a given entire function f with zeros a , we consider the separation of the j Ε½ . < < zeros, defined by β¦ f s inf a y a . We establish estimates for the separation i / j i j of zeros of linear combinations of translates of f.