Upper Bound of the Third Hankel Determinant for a Subclass of Close-to-Convex Functions Associated with the Lemniscate of Bernoulli

Srivastava, H.M.Ahmad, Qazi ZahoorDarus, MaslinaKhan, NazarKhan, BilalZaman, NaveedShah, Hasrat Hussain2020-10-192020-10-1920192019Srivastava, H. M., Ahmad, Q. Z., Darus, M., Khan, N., Khan, B., Zaman, N., & Shah, H. H. (2019). Upper Bound of the Third Hankel Determinant for a Subclass of Close-to-Convex Functions Associated with the Lemniscate of Bernoulli. Mathematics. 7(9), 1-10. https://doi.org/10.3390/math7090848.https://doi.org/10.3390/math7090848http://hdl.handle.net/1828/12227In this paper, our aim is to define a new subclass of close-to-convex functions in the open unit disk U that are related with the right half of the lemniscate of Bernoulli. For this function class, we obtain the upper bound of the third Hankel determinant. Various other related results are also considered.enanalytic functionsclose-to-convex functionssubordinationlemniscate of Bernoulli Hankel determinantUpper Bound of the Third Hankel Determinant for a Subclass of Close-to-Convex Functions Associated with the Lemniscate of BernoulliArticleDepartment of Mathematics and Statistics