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Coefficient Bounds for a Subclass of Harmonic Mappings Con vex in One Direction

Saeed Hashemi Sababe|Maryam Yazdi|Mohammad Mehdi Shabani
경북대학교 자연과학대학 수학과|2021.06|Kyungpook Mathematical Journal|제61권 제2호|pp. 269-278

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참고문헌

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convexunivalentharmonicshear construction
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초록

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.

Abstract

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.

참고문헌 (12)

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  4. R. Hern´andez, "Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings", Complex Anal. Oper. Theory, 13, pp.1783~1793 (2019)
  5. X. Huang, "Harmonic quasiconformal homeomorphisms of the unit disk", Chinese Ann. Math. Ser. A, 29, pp.519~524 (2008)
  6. D. Kalaj, "Boundary correspondence under quasiconformal harmonic diffeomorphisms of a half-plane", Ann. Acad. Sci. Fenn. Math, 30, pp.159~165 (2005)
  7. Z. Nehari, "Conformal mappings" (1975), Dover Publications
  8. M. Pavlovi´c, "Boundary correspondence under harmonic quasiconformal homeomorphisms of the unit disk", Ann. Acad. Sci. Fenn. Math, 27, pp.365~372 (2002)
  9. Mohammad Mehdi Shabani, "On some classes of spiral-like functions defined by the Salagean operator", 한국수학논문집, 28(1), pp.137~147 (2020), 강원경기수학회
  10. Mohammad Mehdi Shabani, "Some distortion theorems for new subclass of harmonic univalent functions", 호남수학학술지, 42(4), pp.701~717 (2020), 호남수학회
  11. T. Sheil-Small, "Constants for planar harmonic mappings", J. London Math. Soc, 42(2), pp.237~248 (1990)
  12. X. Zhang, "Growth and distortion theorems for almost starlike mappings of complex order λ", Acta Math Sci. Ser. B, 28(3), pp.769~777 (2018)

관련 논문AI추천

HARMONIC MAPPINGS WITH ANALYTIC FUNCTIONS전숙희강원경기수학회 · 한국수학논문집2012 · 제20권 제4호Directional convexity of combinations of harmonic half-plane and strip mappingsSubzar Beig, Vaithiyanathan Ravichandran대한수학회 · 대한수학회논문집2022 · 제37권 제1호Multivalent Harmonic Uniformly Starlike FunctionsNaveneet Sangle, Om Ahuja, Santosh Joshi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제3호New Subclasses of Harmonic Starlike and Convex FunctionsKaushal Kishore Dixit, Saurabh Porwal경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제3호Harmonic mappings related to functions with bounded boundary rotation and norm of the pre-Schwarzian derivativeDominika Klimek-Smet, Stanislawa Kanas대한수학회 · 대한수학회보2014 · 제51권 제3호Mapping Properties of Some Harmonic FunctionsManju Yadav, Sukhjit Singh, Sushma Gupta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2025 · 제65권 제4호

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