Starlikeness of sections of univalent functions
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
Let S be the class of all normalized analytic
and univalent functions in the unit disk D. In this paper, we
determine condition so that each section sn(f, z) of f ∈ S is
starlike in the disk |z| < rn. In particular, sn(f, z) is starlike
in |z| ≤ 1/2 for n ≥ 47.
Кључне речи:
Coefficient inequality / analytic / Hadamard convolution / univalent and starlike functionsИзвор:
Rocky Mountain Journal of Mathematics, 2014, 44, 3, 1003-1014Издавач:
- Rocky Mountain Mathematics Consortium
Финансирање / пројекти:
- Простори функција и оператори на њима (RS-MESTD-Basic Research (BR or ON)-174017)
Колекције
Институција/група
GraFarTY - JOUR AU - Obradović, Milutin AU - Ponnusamy, Saminathan PY - 2014 UR - https://grafar.grf.bg.ac.rs/handle/123456789/3406 AB - Let S be the class of all normalized analytic and univalent functions in the unit disk D. In this paper, we determine condition so that each section sn(f, z) of f ∈ S is starlike in the disk |z| < rn. In particular, sn(f, z) is starlike in |z| ≤ 1/2 for n ≥ 47. PB - Rocky Mountain Mathematics Consortium T2 - Rocky Mountain Journal of Mathematics T1 - Starlikeness of sections of univalent functions EP - 1014 IS - 3 SP - 1003 VL - 44 UR - https://hdl.handle.net/21.15107/rcub_grafar_3406 ER -
@article{ author = "Obradović, Milutin and Ponnusamy, Saminathan", year = "2014", abstract = "Let S be the class of all normalized analytic and univalent functions in the unit disk D. In this paper, we determine condition so that each section sn(f, z) of f ∈ S is starlike in the disk |z| < rn. In particular, sn(f, z) is starlike in |z| ≤ 1/2 for n ≥ 47.", publisher = "Rocky Mountain Mathematics Consortium", journal = "Rocky Mountain Journal of Mathematics", title = "Starlikeness of sections of univalent functions", pages = "1014-1003", number = "3", volume = "44", url = "https://hdl.handle.net/21.15107/rcub_grafar_3406" }
Obradović, M.,& Ponnusamy, S.. (2014). Starlikeness of sections of univalent functions. in Rocky Mountain Journal of Mathematics Rocky Mountain Mathematics Consortium., 44(3), 1003-1014. https://hdl.handle.net/21.15107/rcub_grafar_3406
Obradović M, Ponnusamy S. Starlikeness of sections of univalent functions. in Rocky Mountain Journal of Mathematics. 2014;44(3):1003-1014. https://hdl.handle.net/21.15107/rcub_grafar_3406 .
Obradović, Milutin, Ponnusamy, Saminathan, "Starlikeness of sections of univalent functions" in Rocky Mountain Journal of Mathematics, 44, no. 3 (2014):1003-1014, https://hdl.handle.net/21.15107/rcub_grafar_3406 .