Rintaro Ohno

most citedCoefficient estimates of analytic endomorphisms of the unit disk fixing a point with applications to concave functions

15 citations · 15 across the 2 of their papers we have counts for

collaborators

2 papers

math.CV2015★ 15 cited

Coefficient estimates of analytic endomorphisms of the unit disk fixing a point with applications to concave functions

Rintaro Ohno, Toshiyuki Sugawa

In this note, we discuss the coefficient regions of analytic self-maps of the unit disk with a prescribed fixed point. As an application, we solve the Fekete-Szegő problem for norm…

math.CV2015

On the second Hankel determinant of concave functions

Rintaro Ohno, Toshiyuki Sugawa

In the present paper, we will discuss the Hankel determinants $H (f) = a_{2} a_{4} - a_{3}^{2}$ of order 2 for normalized concave functions $f (z) = z + a_{2} z^{2} + a_{3} z^{3} + \dots$ with a pole at $p\in(0,1…