Upper Bound of the Third Hankel Determinant for a Subclass of Close-to-Convex Functions Associated with the Lemniscate of Bernoulli
Date
2019
Authors
Srivastava, H.M.
Ahmad, Qazi Zahoor
Darus, Maslina
Khan, Nazar
Khan, Bilal
Zaman, Naveed
Shah, Hasrat Hussain
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematics
Abstract
In 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.
Description
Keywords
analytic functions, close-to-convex functions, subordination, lemniscate of Bernoulli Hankel determinant
Citation
Srivastava, 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.