Yalçın, SibelEbadian, A.Azizi, Saman2024-06-282024-06-282021-09-230041-5995https://doi.org/10.1007/s11253-021-01927-whttps://link.springer.com/article/10.1007/s11253-021-01927-whttps://hdl.handle.net/11452/42588Recently, Kumar, et al. proposed a conjecture concerning the convolution of a generalized right half-plane mapping with a vertical strip mapping. They verified this conjecture for n = 1, 2, 3 and 4. Moreover, it was proved only for ss =./2. By using of a new method, we settle this conjecture in the affirmative way for all n 2 N and ss 2 (0,.). Moreover, we apply this method to prove some results on the convolutions of harmonic mappings. The proposed new method simplifies calculations and remarkably shortens the proof of the results.eninfo:eu-repo/semantics/closedAccessScience & technologyPhysical sciencesMathematics, appliedMathematicsArticle00069831460001032933673210.1007/s11253-021-01927-w1573-9376