Rintaro Ohno
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View article: On the second Hankel determinant of concave functions
On the second Hankel determinant of concave functions Open
In the present paper, we will discuss the Hankel determinants $H(f) =a_2a_4-a_3^2$ of order 2 for normalized concave functions $f(z)=z+a_2z^2+a_3z^3+\dots$ with a pole at $p\in(0,1).$ Here, a meromorphic function is called concave if it ma…
View article: An extension of necessary and sufficient conditions for concave functions
An extension of necessary and sufficient conditions for concave functions Open
In the present article we discuss necessary and sufficient conditions for concave functions, i.e. meromorphic functions which map the unit disk conformally on a domain whose complement is convex. The conditions will be given with respect t…