Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
A Study of the Higher-Order Schwarzian Derivatives of Hirotaka Tamanoi
View through CrossRef
ABSTRACT
In this paper, we study the higher-order Schwarzian derivative Sn
(f) proposed by H. Tamanoi [Higher Schwarzian operators and combinatorics of the Schwarzian derivative, Math. Ann. 305 (1996), 127–151]. For the strongly starlike functions of order α and strongly convex functions of order α, the sharp bound of |S
3(f)(0)| is obtained. When n ∈ [2, 7], we prove that the higher Bers maps induced by Sn
(f) on Weil-Petersson Teichmüller space and BMO-Teichmüller space are holomorphic.
Walter de Gruyter GmbH
Title: A Study of the Higher-Order Schwarzian Derivatives of Hirotaka Tamanoi
Description:
ABSTRACT
In this paper, we study the higher-order Schwarzian derivative Sn
(f) proposed by H.
Tamanoi [Higher Schwarzian operators and combinatorics of the Schwarzian derivative, Math.
Ann.
305 (1996), 127–151].
For the strongly starlike functions of order α and strongly convex functions of order α, the sharp bound of |S
3(f)(0)| is obtained.
When n ∈ [2, 7], we prove that the higher Bers maps induced by Sn
(f) on Weil-Petersson Teichmüller space and BMO-Teichmüller space are holomorphic.
Related Results
Pharmacological screening of synthetic piperidine derivatives
Pharmacological screening of synthetic piperidine derivatives
Piperidine derivatives are essential heterocyclic compounds that have beneficial roles in the medical and commercial sector. They can be isolated from plant material and can be che...
The role of country tax environment on the relationship between financial derivatives and tax avoidance
The role of country tax environment on the relationship between financial derivatives and tax avoidance
Purpose
The purpose of this paper is to examine the effect of financial derivatives usage and country’s tax environment characteristics on the relationship betwee...
Triarylmethane and Diarylmethane Dyes
Triarylmethane and Diarylmethane Dyes
AbstractThe article contains sections titled:1.Definition and Chromophores1.1.Definition1.2.Chromophores2.History and Economic Importance2.1.History2.2.Economic Importance3.Product...
Generalized Schwarzians and normal families
Generalized Schwarzians and normal families
We study families of analytic and meromorphic functions with bounded generalized Schwarzian derivative \(S_k(f)\). We show that these families are quasi-normal. Further, we investi...
Value and risk effects of financial derivatives: Evidence of corporate governance on hedging, speculation and selective hedging strategies
Value and risk effects of financial derivatives: Evidence of corporate governance on hedging, speculation and selective hedging strategies
<p>This study investigates whether there is a relationship between corporate governance and derivatives, whether corporate governance influence in firms impacts the associati...
Synthesis, Characterization, and Molecular Docking Against a Receptor Protein FimH of Escherichia coli (4XO8) of Thymidine Derivatives
Synthesis, Characterization, and Molecular Docking Against a Receptor Protein FimH of Escherichia coli (4XO8) of Thymidine Derivatives
Abstract. Thymidine is known as a progenitor of nucleosides that have significant biological activity. The widening importance of nucleoside derivatives as unrivaled potential anti...
Characterization of real B0 shim fields generated by higher order B0 shim systems of whole body human 3T and 7T MRI systems
Characterization of real B0 shim fields generated by higher order B0 shim systems of whole body human 3T and 7T MRI systems
Purpose
Ensuring optimal homogeneity of the static magnetic field (B0) is critically important for significantly enhancing the image quality, spectral resolution, an...
HIGHER EDUCATION BRANDING
HIGHER EDUCATION BRANDING
Background. The increasing intensity of competition in the international market for higher education services leads to an increase in the importance of brands of higher education i...