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THIRD HANKEL DETERMINANTS FOR STARLIKE AND CONVEX FUNCTIONS OF ORDER ALPHA
Orhan, Halit,Zaprawa, Pawel Korean Mathematical Society 2018 대한수학회보 Vol.55 No.1
In this paper we obtain the bounds of the third Hankel determinants for the classes $\mathcal{S}^*({\alpha})$ of starlike functions of order ${\alpha}$ and $\mathcal{K}({\alpha}$) of convex functions of order ${\alpha}$. Moreover,we derive the sharp bounds for functions in these classes which are additionally 2-fold or 3-fold symmetric.
Third Hankel determinants for starlike and convex functions of order alpha
Halit Orhan,Paweł Zaprawa 대한수학회 2018 대한수학회보 Vol.55 No.1
In this paper we obtain the bounds of the third Hankel determinants for the classes $\mathcal{S}^\ast(\alpha)$ of starlike functions of order $\alpha$ and $\mathcal{K}(\alpha)$ of convex functions of order $\alpha$. Moreover,we derive the sharp bounds for functions in these classes which are additionally 2-fold or 3-fold symmetric.
FOURTH HANKEL DETERMINANT FOR THE FAMILY OF FUNCTIONS WITH BOUNDED TURNING
Arif, Muhammad,Rani, Lubna,Raza, Mohsan,Zaprawa, Pawel Korean Mathematical Society 2018 대한수학회보 Vol.55 No.6
The main aim of this paper is to study the fourth Hankel determinant for the class of functions with bounded turning. We also investigate for 2-fold symmetric and 3-fold symmetric functions.
Fourth Hankel determinant for the family of functions with bounded turning
Muhammad Arif,Lubna Rani,Mohsan Raza,Pawel Zaprawa 대한수학회 2018 대한수학회보 Vol.55 No.6
The main aim of this paper is to study the fourth Hankel determinant for the class of functions with bounded turning. We also investigate for $2$-fold symmetric and $3$-fold symmetric functions.