Математические заметки СВФУ, 2024, том 31, выпуск 1, страницы 82–88(Mi svfu409)
Математика
The sharp bound of the generalized Zalcman conjecture for initial coefficient and the certain second Hankel determinants of k^th-root transformation for a subclass of analytic functions
Kumar Sanjay K., B. Rath, Krishna Vamshee D., Viswanadh Surya G. K.
Аннотация:
We obtain sharp bounds in the generalized Zalcman conjecture for the initial coefficients and the second Hankel determinants H2,1,k(f ), H2,2,k(f ) for the k^th-root transformation to the subclass of analytic functions.