Yamaguchi University
Faculty of Engineering, Department of Applied Science
Associate Professor
Research field (1)：
Basic analysis
Research keywords (6)：
Quasiconformal Mappings
, Bloch constants
, Theory of Conformal Mappings
, Geometric Function Theory
, Complex Analysis
, Analysis
Research theme for competitive and other funds (37)：
2019 - 2023 Loewner theory on deformation of universal covering maps
2017 - 2022 Analysis of elliptic operators and its applications to Geometric Function Theory
2014 - 2018 Researches on holomorphic mapings of Riemann surfaces---existence of mappings and conformal invariants
2014 - 2018 Research on Inequalities related to several kinds of entropies in classical or quantum system
2014 - 2017 Special linear systems and Weierstrass points on compact Riemann surfaces
2016 - 普遍被覆空間におけるレブナー理論の新展開
2010 - 2015 Various aspects on the study of Geometric Function Theory
2010 - 2014 Research on holomorphic mappings of Riemann surfaces----roles of handles played in the existence problem of holomorphic mappings
2011 - 2013 Studies on special linear series and Weierstrass points on compact Riemann surfaces
2011 - 2013 Research on inequalities related to several entropies in classical or quantum system
2011 - 2013 Multidimensional E-spline sampling theory and applications
2010 - 2012 Study on the initial value problems for a new type of nonlinear dispersive wave equations
2009 - 2011 Global behavior of compressible viscous gases and fluids
2008 - 2010 Research on inequalities related to classical or quantum entropy
2007 - 2009 Loewner方程式の幾何学的函数論および確率過程への応用
2007 - 2009 Holomorphic mappings of Riemann surfaces with handles
2007 - 2009 Special linear systems on compact Riemann surfaces
2006 - 2007 Study of Inequalities in Operator Theory and Quantum Information Theory
2005 - 2006 Special linear systems on Riemann surfaces
2004 - 2006 Study on the theory of conformal embeddings of a Riemann surface focused on the hyperrbolic metric and hydrodynamics of viscous fluids
2004 - 2005 Extremal problems and holomorphic mappings of Riemann surfaces
2003 - 2004 Special linear systems on compact Riemann surfaces
2002 - 2003 Study on the behavior of solutions in the zero dispersion limit of the nonlinear wave equations with the integral kernel
2000 - 2002 Holomorphic mappings and moduli of Riemann surfaces
2000 - 2001 Meromorphic functions on compact Riemann surfaces
2000 - 2001 Conformal invariants of Riemann surfaces and theta functions
1998 - 2000 擬等角写像の変分公式の研究
1999 - 2000 Applied Functional Analysis related to Mathematical Information Theory
1998 - 1999 リーマン面上の極値的長さ、双曲的長さとモデュライ問題
1998 - 1999 Mean values and Asymptotic Behavior on Arithmetical Functions
1998 - 1999 Meromorphic functions on Riemann surfaces, Weierstrass points
1997 - 1998 Construction and Decomposition of Diffusion Processes
1997 - 1998 Applied Functional Analysis related to Mathematical Information Theory
1997 - 1998 Research on holomorphic mappings between Riemann surfaces
1996 - 1997 複素解析学における等角写像論の研究
1990 - 1990 リ-マン面上の有理型函数とワイエルストラス点の研究
1988 - 1989 等角写像と値分布論
Show all
Papers (36)：
Shota Hoshinaga, Hiroshi Yanagihara. The Sharp Distortion Estimate Concerning Julia’s Lemma. Computational Methods and Function Theory. 2023
Shota Hoshinaga, Ikkei Hotta, Hiroshi Yanagihara. Continuous evolution families. Proceedings of the American Mathematical Society. 2023. 151. 12. 5251-5263
Gangqiang Chen, Hiroshi Yanagihara. Variability regions for the second derivative of bounded analytic functions. Monatshefte für Mathematik. 2022. 197. 1. 57-70
MD FIROZ ALI, VASUDEVARAO ALLU, HIROSHI YANAGIHARA. AN APPLICATION OF SCHUR’S ALGORITHM TO VARIABILITY REGIONS OF CERTAIN ANALYTIC FUNCTIONS II. Bulletin of the Australian Mathematical Society. 2021. 1-14
Md Firoz Ali, Vasudevarao Allu, Hiroshi Yanagihara. An Application of the Schur Algorithm to Variability Regions of Certain Analytic Functions-I. Computational Methods and Function Theory. 2021
Yanagihara Hiroshi. THE SHARP GROWTH ESTIMATE FOR $\mathcal{U}(\lambda)$ (Some inequalities concerned with the geometric function theory). RIMS Kokyuroku. 2014. 1878. 100-111
Lectures and oral presentations (9)：
Loewner Theory on Analytic Universal Covering Maps
(International Workshop on Conformal Dynamics and Loewner Theory 2018)
XV-th International conference on Mathematics, Informatics and related fields
(2009)
Regions of variability of analytic functions subordinated by convex functions
(XV-th International conference on Mathematics, Informatics and related fields 2009)
Regions of variability for functions of bounded derivatives in the unit disk
(International conference on geometric function theory,special functions and applications 2006)
