- Path:
-
Volume Nr. 9, 22.01.1898
Periodical
- Title:
- Mathematica Slovaca
- Publication:
-
Warsaw: Versita
- Note:
- Gesehen am 17.01.2017
- Archivierung/Langzeitarchivierung gewährleistet
- C!URL-Ä(31-10-13)
- Scope:
- Online-Ressource
- ISSN:
- 1337-2211
- ZDB-ID:
-
2393408-6
- VÖBB-Katalog:
- 34174084
- Keywords:
- Zeitschrift
- Classification:
- Mathematik
- Collection:
- Mathematik
- Copyright:
- Rights reserved
- Accessibility:
- Eingeschränkter Zugang mit Nutzungsbeschränkungen
Article
- Title:
- Radius problem associated with certain ratios and linear combinations of analytic functions
- Publication:
-
Warsaw: Versita, 2024
- Language:
- English
- Information:
- Abstract: For normalized starlike functions f: → ℂ, we consider the analytic functions g: → ℂ defined by g (z) = (1 + z (f″(z))/f′(z))/(zf′(z)/f (z)) and g (z) = (1 − α)(zf′(z))/f (z) + α(1 + (zf″(z))/f′(z)), 0 ≤ α ≤ 1. We determine the largest radius ρ with 0 < ρ ≤ 1 such that g (ρ z) is subordinate to various functions with positive real part.
- Scope:
- Online-Ressource
- Note:
- Kein Open Access
- Archivierung/Langzeitarchivierung gewährleistet
- Keywords:
- Univalent functions ; starlike functions ; convex functions ; subordination ; Janowski starlike functions ; Janowski convex functions ; radius problem ; 30C80 ; 30C45
- Classification:
- Mathematik
- Sonstiges
- Collection:
- Mathematik
- Sonstiges
- Copyright:
- Rights reserved
- Accessibility:
- Eingeschränkter Zugang mit Nutzungsbeschränkungen
