Starlikeness, convexity and landau type theorem of the real kernel α-harmonic mappings

نویسندگان

چکیده

In [26], Olofsson introduced a kind of second order homogeneous partial differential equation. We call the solution this equation real kernel ?-harmonic mappings. paper, we study some geometric properties give univalence criteria and sufficient coefficient conditions for mappings that are fully starlike or convex ?, ? [0, 1). Furthermore, establish Landau type theorem

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‘The present investigation was supported, in part, by the Japanese Ministry of Education, Science and Culture tinder Grant-in-Aid for General Scientific Research (No. 046204) and, in part, by the Natural Sciences and Engineering Research Council of Canada under Grant 0GP0007353. A preliminary report on this paper was presented at the spring meeting of the Mathematical Society of Japan held at W...

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ژورنال

عنوان ژورنال: Filomat

سال: 2021

ISSN: ['2406-0933', '0354-5180']

DOI: https://doi.org/10.2298/fil2108629l