An Investigation of the Third Hankel Determinant Problem for Certain Subfamilies of Univalent Functions Involving the Exponential Function
Date
2019
Authors
Shi, Lei
Srivastava, H.M.
Arif, Muhammad
Hussain, Shehzad
Khan, Hassan
Journal Title
Journal ISSN
Volume Title
Publisher
Symmetry
Abstract
In the current article, we consider certain subfamilies S∗e and Ce of univalent functions associated with exponential functions which are symmetric along real axis in the region of open unit disk. For these classes our aim is to find the bounds of Hankel determinant of order three. Further, the estimate of third Hankel determinant for the family S∗e in this work improve the bounds which was investigated recently. Moreover, the same bounds have been investigated for 2-fold symmetric and 3-fold symmetric functions.
Description
Keywords
subordinations, exponential function, Hankel determinant
Citation
Shi, L., Srivastava, H.M., Arif, M., Hussain, S. & Khan, H. (2019). An Investigation of the Third Hankel Determinant Problem for Certain Subfamilies of Univalent Functions Involving the Exponential Function. Symmetry, 11(5), 598. https://doi.org/10.3390/sym11050598