Geodesic
Starlikeness, convexity and landau type theorem of the real kernel α−harmonic mappings
Filomat, Tome 35 (2021) no. 8, p. 2629

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In [26], Olofsson introduced a kind of second order homogeneous partial differential equation. We call the solution of this equation real kernel α−harmonic mappings. In this paper, we study some geometric properties of this real kernel α−harmonic mappings. We give univalence criteria and sufficient coefficient conditions for real kernel α−harmonic mappings that are fully starlike or fully convex of order γ, γ ∈ [0, 1). Furthermore, we establish a Landau type theorem for real kernel α−harmonic mappings
DOI : 10.2298/FIL2108629L
Classification : 31C45, 30B10
Keywords: Weighted harmonic mappings, fully starlike, fully convex, Landau type theorem, Gauss hypergeometric function 
Bo-Yong Long; Qi-Han Wang. Starlikeness, convexity and landau type theorem of the real kernel α−harmonic mappings. Filomat, Tome 35 (2021) no. 8, p. 2629 . doi: 10.2298/FIL2108629L
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     author = {Bo-Yong Long and Qi-Han Wang},
     title = {Starlikeness, convexity and landau type theorem of the real kernel \ensuremath{\alpha}\ensuremath{-}harmonic mappings},
     journal = {Filomat},
     pages = {2629 },
     year = {2021},
     volume = {35},
     number = {8},
     doi = {10.2298/FIL2108629L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2108629L/}
}
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