Rchr
J-GLOBAL ID:201401051064063709
Update date: Nov. 13, 2024
Nakamura Yayoi
ナカムラ ヤヨイ | Nakamura Yayoi
Affiliation and department:
Other affiliations (1):
Homepage URL (1):
http://kaken.nii.ac.jp/d/r/60388494.ja.html
Research field (2):
Algebra
, Basic analysis
Research keywords (17):
D-加群
, 孤立特異点
, 代数的局所コホモロジー
, 計算代数解析
, ホロノミック系
, b-関数
, 代数的局所コホモロジー類
, グロタンディック双対性
, Milnor algebra
, スタンダード基底
, 超幾何微分方程式
, グレブナー基底
, 多重ゼータ値
, 特異摂動
, 変わり点
, スペクトル分解
, 複素解析幾何
Research theme for competitive and other funds (13):
- 2018 - 2023 Exact WKB analysis of parametric Stokes phenomena
- 2014 - 2018 Algebraic analysis of parametric Stokes phenomena
- 2012 - 2017 Residue theory on singular varieties and its applications
- 2012 - 2015 Computational Complex Analysis of logarithmic vector fields, singular varieties and Algebraic Analysis Algorithms
- 2010 - 2014 Asymptotic analysis of instanton-type solutions
- 2009 - 2011 A study for deformation and b-function of isolated singularities on computational algebraic analysis
- 2009 - 2011 Algebraic analysis of algebraic local cohomology and computational complex analysis of non-isolated singularities
- 2009 - 2011 Localization theory of Atiyah classes and its applications
- 2007 - 2008 Deformation of isolated singularities from the viewpoint of computational algebraic analysis
- 2006 - 2008 Exact WKB analysis of systems of differential equations
- 2005 - 2007 Complex analysis of residues currents and computational algebraic analysis
- 2005 - 2006 計算代数解析に基づく弧立特異点の不変量とb-関数の研究
- 2003 - 2005 Exact WKB analysis of microdifferential equations of infinite order
Show all
Papers (32):
-
Kentaro Ihara, Yusuke Kusunoki, Yayoi Nakamura, Hitomi Saeki. Generating function of multiple polylog of Hurwitz type. Canadian J. Math. 2024. 76. 1. 1-17
-
Yayoi NAKAMURA, Yoshitaka SASAKI. Evaluation of functional relation formula for the Clausen and Glaisher functions and multiple L-values. Lithuanian Mathematical Journal. 2023. 63. 3. 382-395
-
Yusuke Kusunoki, Yayoi Nakamura. An interpolation function of multiple harmonic sum. Research in Number Theory. 2022. 8. 4
-
Y. Kusunoki, Y. Nakamura, Y. Sasaki. Functional relation formula for the analytic continuation of multiple polylogarithms. Acta Arithmetica. 2020. 195. 2. 131-148
-
Y.Kusunoki, Y. Nakamura, Y. Sasaki. Analytic continuation of double polylogarithm by means of residue calculus. Commentarii Mathematici Universitatis Sancti Pauli. 2019. 67. 1. 49-64
more...
MISC (30):
-
中村弥生. A residue calculus for few variants of MZV. 2023. 2267. 63-75
-
中村弥生. 複素関数論の中の実関数. 大学数学の質問箱. 2021. 2. 47-51
-
中村弥生. Some properties of interpolation function of truncated multiple zeta value. 数理解析研究所講究録. 2020. 2160. 254-265
-
中村 弥生. 複素関数論の中の実関数-特集 複素関数の質問箱. 数学セミナー. 2018. 57. 6. 13-17
-
Shimoda Yutaka, Nakamura Yayoi, Owa Shigeyoshi. Univalence and starlikeness of a function defined by convolution of analytic function and hypergeometric function $_3F_2$ (Some inequalities concerned with the geometric function theory). RIMS Kokyuroku. 2014. 1878. 85-93
more...
Books (11):
-
線形代数学30講 改訂増補版
培風館 2023 ISBN:9784563012441
-
微分積分学30講 改訂増補版
培風館 2023 ISBN:9784563012458
-
複素関数論の中の実関数
大学数学の質問箱2 2021
-
複素関数論の中の実関数-特集 複素関数の質問箱
数学セミナー 57(6) 2018
-
微分積分学30講
培風館 2013 ISBN:9784563003982
more...
Lectures and oral presentations (59):
-
一般化多重調和数の補間関数について
(大阪梅田関数方程式・特殊関数セミナー 2024)
-
一般化多重調和数の補間関数と多重ポリログ関数
(岡潔女性数学者セミナー 2024)
-
A residue calculus for few variants of MZV
(2023)
-
An interpolation function of truncated multiple zeta values
(2019)
-
多重ポリログ関数の解析接続の明示式について
(2018)
more...
Professional career (1):
Work history (2):
- 2009/04 - 現在 Kindai University Faculty of Science and Engineering
- 2004/04 - 2009/03 Kindai University
Return to Previous Page