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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.1
- 수록면
- 269 - 278 (10page)
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In this paper, we investigate harmonic univalent functions convex in the di rection θ, for θ ∈ [0, π). We find bounds for |fz(z)|, |fz(z)| and |f(z)|, as well as coefficient bounds on the series expansion of functions convex in a given direction.
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참고문헌 (12)
참고문헌 신청
O. P. Ahuja / 2012 / Use of theory of conformal mappings in harmonic univalent mappings with directional convexity / Bull. Malays. Math. Sci. Soc 35(2):775~784
J. Clunie / 1984 / Harmonic univalent functions / Ann. Acad. Sci. Fenn. Ser. A I Math 9:3~25
W. Hengartner / 1970 / On schlicht mappings to domains convex in one direction / Comment. Math. Helv 45:303~314
R. Hern´andez / 2019 / Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings / Complex Anal. Oper. Theory 13:1783~1793
X. Huang / 2008 / Harmonic quasiconformal homeomorphisms of the unit disk / Chinese Ann. Math. Ser. A 29:519~524
J. Clunie / 1984 / Harmonic univalent functions / Ann. Acad. Sci. Fenn. Ser. A I Math 9:3~25
W. Hengartner / 1970 / On schlicht mappings to domains convex in one direction / Comment. Math. Helv 45:303~314
R. Hern´andez / 2019 / Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings / Complex Anal. Oper. Theory 13:1783~1793
X. Huang / 2008 / Harmonic quasiconformal homeomorphisms of the unit disk / Chinese Ann. Math. Ser. A 29:519~524
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