H. Yanagihara

activity

20152022

most citedOn a class of univalent functions defined by a differential inequality

2 citations · 3 across the 7 of their papers we have counts for

collaborators

7 papers

math.CV2022

Continuous evolution families

Shota Hoshinaga, Ikkei Hotta, Hiroshi Yanagihara

Recently in relation to the theory of non-commutative probability, a notion of evolution families ${ω_{s, t}}_{s \leq t}$ is generalized that are only continuous in parameters, nam…

math.CV2020★ 2 cited

On a class of univalent functions defined by a differential inequality

Md Firoz Ali, Vasudevarao Allu, Hiroshi Yanagihara

For $0 < λ \leq 1$ , let $U (λ)$ be the class analytic functions $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ in the unit disk $D$ satisfying $∣ f^{'} (z) (z / f (z))^{2} - 1∣ < λ$ and $\mat…

math.CV2020★ 1 cited

An application of Schur algorithm to variability regions of certain analytic functions-II

Md Firoz Ali, Vasudevarao Allu, Hiroshi Yanagihara

We continue our study on variability regions in \cite{Ali-Vasudevarao-Yanagihara-2018}, where the authors determined the region of variability $V_Ω^j (z_0, c ) = \{ \int_0^{z_0} z^…

math.CV2020

Variability regions for the second derivative of bounded analytic functions

Gangqiang Chen, Hiroshi Yanagihara

Let $z_{0}$ and $w_{0}$ be given points in the open unit disk $D$ with $∣ w_{0} ∣ < ∣ z_{0} ∣$ . Let $H_{0}$ be the class of all analytic self-maps $f$ of $D$ normaliz…

math.CV2019

Lowener Theory on Analytic Universal Covering Maps

Hiroshi Yanagihara

We study Loewner chains in $H_{0} (D)$ without assuming univalence of each element. We prove a decomposition: every chain admits a factorization $f_{t} = F \circ g_{t}$ , w…

math.CV2019

An application of the Schur algorithm to variability regions of certain analytic functions

Md Firoz Ali, Vasudevarao Allu, Hiroshi Yanagihara

Let $Ω$ be a convex domain in the complex plane $C$ with $Ω \neq = C$ , and $P$ be a conformal map of the unit disk $D$ onto $Ω$ . Let $F_{Ω}$ be…

math.CV2015

Circular Symmetrization, Subordination and Arclength problems on Convex Functions

Mari Okada, Saminathan Ponnusamy, Allu Vasudevarao +1

We study the class $C (Ω)$ of univalent analytic functions $f$ in the unit disk $D = {z \in C : ∣ z ∣ < 1}$ of the form $f(z)=z+\sum_{n=2}^{\infty}a_n z…