Open AccessA study on Zalcman conjecture and third Hankel determinant
Author(s) -
Virendra Kumar,
R. B. Sharma
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1597/1/012021
Subject(s) - algorithm , materials science , computer science
In this present work, we define a new subclass of holomorphic functions denoted by R e . We estimate an upperbound of | H 3 ( 1 ) | , | a 3 2 − a 5 | for the function f in these classes associated with exponential function. Also we estimate an upperbound of coefficient inequality for the functions ( f * g ) , f − 1 and z f ( z ) .