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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.9
- 수록면
- 513 - 522 (10page)
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In this paper we investigate a subclass M(α) of the class of starlike functions in the unit disk ㅣzㅣ < 1. The class M(α) was introduced by Kargar et al. [Complex Anal. Oper. Theory 11:1639{1649, 2017]. In this paper some basic geometric properties of the class M(α) are investigated. Among others things, coeffcients estimates and bound are given for the Fekete-Szego functional associated with the k{th root transform [f(z^k)]^(1/k.). Also a certain subclass of bi-starlike functions is introduced and the bounds for the initial coeffcients are obtained.
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참고문헌 (10)
참고문헌 신청
D. A. Brannan / 1986 / On some classes of bi-univalent functions / Studia Univ. Babes-Bolyai Math 31(2):70~77
D. A. Brannan / 1970 / Coefficient estimates for a class of star-like functions / Canad. J. Math 22:476~485
M. Dorff / 2001 / Convolutions of planar harmonic convex mappings / Complex Variables, Theory and Appl 45(3):263~271
R. Kargar / 2017 / Radius problems for some subclasses of analytic functions / Complex Anal. Oper. Theory 11:1639~1649
F. R. Keogh / 1969 / A coefficient inequality for certain classes of analytic functions / Proc. Amer. Math. Soc 20:8~12
D. A. Brannan / 1970 / Coefficient estimates for a class of star-like functions / Canad. J. Math 22:476~485
M. Dorff / 2001 / Convolutions of planar harmonic convex mappings / Complex Variables, Theory and Appl 45(3):263~271
R. Kargar / 2017 / Radius problems for some subclasses of analytic functions / Complex Anal. Oper. Theory 11:1639~1649
F. R. Keogh / 1969 / A coefficient inequality for certain classes of analytic functions / Proc. Amer. Math. Soc 20:8~12
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