2024-09-282024-09-282022-01-01https://doi.org/10.15672/hujms.922981https://hdl.handle.net/11452/45422In this paper, we introduce a new subclass of harmonic functions f = s + t in the open [ ) Re gamma s '(z) + delta zs ''(z) + (5-7 (5-7 z2s ''' (z) - lambda gamma t '(z) + delta zt ''(z) + z2t ''' (z) , 2 2 where 0 <= lambda < gamma <= delta, z is an element of U. We determine several properties of this class such as close-toconvexity, 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.enStarlikeHarmonicUnivalentClose-to-convexCoefficient estimatesConvolutionScience & technologyPhysical sciencesStatistics & probabilityMathematicsNew subclass of the class of close-to-convex harmonic mappings defined by a third-order differential inequalityArticle00076038460001317218651110.15672/hujms.922981