Nakamura Yayoi

ナカムラヤヨイ | Nakamura Yayoi

Affiliation and department：
Other affiliations (1)：

数学コース

Homepage URL (1)： http://kaken.nii.ac.jp/d/r/60388494.ja.html

Research field (2)： Basic analysis , Geometry

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

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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

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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

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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

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Lectures and oral presentations (57)：

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)
Analytic continuation of multiple polylogarithm via residues
(2018)
On an invariant of b-operator for Reiffen’s (p,4) isolated singularity
(a workshop “Algebra, Algorithms and Algebraic Analysis” 2013)

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Work history (2)：

2009/04 - 現在 Kindai University Faculty of Science and Engineering
2004/04 - 2009/03 Kindai University

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