Jñānābha, Vol. 50 (2) (2020), (122-127)
Jñānābha, Vol. 50 (2) (2020), (122-127)
UPPER BOUND ON FOURTH HANKEL DETERMINANT FOR CERTAIN SUBCLASS OF MULTIVALENT FUNCTIONS
By
Gurmeet Singh1, Gagandeep Singh2 and Gurcharanjit Singh3
1Department of Mathematics, Khalsa College, Patiala-147001, Punjab, India
Email: meetgur111@gmail.com
2Department of Mathematics, Khalsa College, Amritsar-143001, Punjab, India
Email: kamboj.gagandeep@yahoo.in
3Department of Mathematics, Punjabi University, Patiala-147002, Punjab, India
Department of Mathematics, GNDU College, Chungh-143304, Punjab, India
Email: dhillongs82@yahoo.com
(Received : June 11, 2020 ; Revised: October 09, 2020)
DOI: https://doi.org/10.58250/jnanabha.2020.50214
The present investigation is concerned with the estimation of the upper bound to the H4 (p) Hankel determinant for a subclass of p-valent functions in the open unit disc E={z:|z|<1}. This work will motivate the researchers to work in the direction of investigation of fourth Hankel determinant for several other subclasses of univalent and multivalent functions.
2010 Mathematics Subject Classifications: 30C45, 30C50.
Keywords and phrases: Analytic functions, Univalent functions, Multivalent functions, Hankel determinant, Coefficient bounds.