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- W3178395217 abstract "In this paper, we introduce a new subclass of harmonic functions $f=s+overline{t}$ in the open unit disk $U =left { zin C:left vert zright vert <1right } $ satisfying ${text{Re}}left[ gamma s^{prime }(z)+delta zs^{prime prime }(z)+left( frac{delta -gamma }{2}right) z^{2}s^{prime prime prime }left( zright) -lambda right] >left vert gamma t^{prime }(z)+delta zt^{prime prime }(z)+left( frac{delta -gamma }{2}right) z^{2}t ^{prime prime prime }left( zright) right vert,$ where $0leq lambda <gamma leq delta, zin U.$ We determine several properties of this class such as close-to-convexity, coefficient bounds, and growth estimates. We also prove that this class is closed under convex combination and convolution of its members. Furthermore, we investigate the properties of fully starlikeness and fully convexity of the class." @default.
- W3178395217 created "2021-07-19" @default.
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- W3178395217 date "2021-07-08" @default.
- W3178395217 modified "2023-10-10" @default.
- W3178395217 title "New subclass of the class of close-to-convex harmonic mappings defined by a third-order differential inequality" @default.
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