Report
Hutchinson's Intervals and Entire Functions from the Laguerre-Pólya Class
| العنوان: | Hutchinson's Intervals and Entire Functions from the Laguerre-Pólya Class |
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| المؤلفون: | Nguyen, Thu Hien, Vishnyakova, Anna |
| بيانات النشر: | Mathematisches Forschungsinstitut Oberwolfach |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Laguerre-Pólya class, Laguerre-Pólya class of type I, Entire functions of order zero, Real-rooted polynomials, Hyperbolic polynomials, ddc:510 |
| الوصف: | We find the intervals [α,β(α)] such that if a univariate real polynomial or entire function f(z)=a₀+a₁z+a₂z²+⋯ with positive coefficients satisfy the conditions a2_k−1ak−2ak∈[α,β(α)] for all k≥2, then f belongs to the Laguerre-Pólya class. For instance, from J.I. Hutchinson's theorem, one can observe that f belongs to the Laguerre-Pólya class (has only real zeros) when qk(f)∈[4,+∞). We are interested in finding those intervals which are not subsets of [4,+∞). |
| نوع الوثيقة: | report |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 1864-7596 |
| Relation: | https://oa.tib.eu/renate/handle/123456789/16968; https://doi.org/10.34657/15990 |
| DOI: | 10.34657/15990 |
| الاتاحة: | https://oa.tib.eu/renate/handle/123456789/16968 https://doi.org/10.34657/15990 |
| Rights: | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. ; This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. |
| رقم الانضمام: | edsbas.FEE8658A |
| قاعدة البيانات: | BASE |
| تدمد: | 18647596 |
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| DOI: | 10.34657/15990 |