SAIGO Megumi 西郷恵

… Alternative Names

西郷恵

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Researcher Number	10040403
Other IDs
Affiliation (based on the past Project Information) *help	2004 – 2005: 福岡大学, 理学部, 教授 1991 – 2001: 福岡大学, 理学部, 教授 2000: 福岡大学, 理工学部, 教授 1986 – 1987: 福岡大学, 理学部, 教授
Review Section/Research Field	Principal Investigator 解析学 / Basic analysis Except Principal Investigator 解析学 / Basic analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 積分変換 / 超幾何関数 / Fractional calculus / 分数微積分 / H-関数 / H-変換 / 単葉関数 / H-function / Fractional Calculus / 退化双曲型方程式 … More / ラプラス変換とスチールチェ変換 / 軸対称微分作用素 / 単葉関数論 / メリン変換 / 双積分方程式 / 超幾何級数 / Degenerate hyperbolic equations / Hypergeometric functions / Laplace and Stieltjes transforms / Axisymmetric differential operator / Theory of univalent functions / Mellin transform / Dual integral equations / 単葉・多葉関数 / ガウス超幾何関数 / アッペル関数 / アーベルボルテラ積分方程式 / p-葉関数 / 星型関数 / 凸型関数 / Gauss超幾何関数 / 多葉関数 / Appell超幾何関数 / サブオーデイネーション / サブオ-ディネーション / fractional calculus / univalent and multivarlent functions / Gauss hypergeometric function / H-transform / Appell function / integral transforms / Abel-Volterra integral equation / 特殊関数 / フレンケルの補題 / ハミルトンヤコビ方程式 / 接続問題 / Hanilton-Jacobi方程式 / H-transformation / Special function / Univalent function / Frankel's lemma / Hamilton-Jacob equation / Continuation problem … More Except Principal Investigator 非線形微分方程式 / 漸近挙動 / 定性的理論 / 振動、非振動 / 零点分布 / 中心極限定理 / 確率過程 / 特異解 / nonlinear differential equation / singular solution / 非線形発展方程式 / 初期値 / 境界値 / 解の構成 / ガレルキン法 / 半群論 / 正則性 / 非有界作用素環(O^*-代数) / 一般化された巡回ベクトル / (非有界)富田-竹崎理論 / standard系 / modular系 / weight / CCR-代数 / 量子群 / 常微分方程式 / 偏微分方程式 / 解の漸近挙動 / 準線形微分方程式 / 関数微分方程式 / 漸近行動 / 非線形 / 発展方程式 / 退化双曲型方程式 / 解の存在 / 安定性 / 近似方程式 / 拡散 / 波動 / 確率近似法 / 逐次推測過程 / 従属確率変数 / 大数の法則 / 平均収束 / 概収束 / 振動理論 / 非線形Sturm-Liouville作用素 / 振動解、非振動解 / 振動解.非振動解 / 定量解析 / oscillation theory / nonlinear Sturm-Liouville operator / oscillatory / zero / 単葉関数 / 星型関数 / 凸型関数 / 部分和 / 積分作用素 / 微分作用素 / 有理型関数 / 超幾何関数 / サブオーディネーション / 合成積 / Gauss 超幾何関数 / univalent function / starlike function / convex function / partial sum / integral operator / differential operator / rational function / hypergeometric / 特異性を持つ微分方程式 / ブラックホール解 / ホワイトホール解 / 特異性をもつ微分方程式 / singular differential equation / black hole solution / white hole solution Less

H-transformations and their applications to families of univalent and multivalent functions.Principal Investigator
- Principal Investigator
  
  SAIGO Megumi
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Fukuoka University
Studies on singular solutions of nonlinear differential equations.
- Principal Investigator
  
  KUSANO Takasi
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Fukuoka University
Study on the properties for partial sums of analytic functions
- Principal Investigator
  
  OWA Shigeyoshi
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kinki University
Qualitative and Quantitative Analysis of Nonlinear Oscillation of Differential Equations
- Principal Investigator
  
  KUSANO Takashi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Fukuoka University
A Study on Applications of Fractional Calculus to Univalent and Multivalent FunctionsPrincipal Investigator
- Principal Investigator
  
  SAIGO Megumi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  FUKUOKA UNIVERSITY
非線形関数方程式の定性的解析と定量的解析の研究
- Principal Investigator
  
  草野尚
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Fukuoka University
非線形微分方程式の数理解析
- Principal Investigator
  
  KUSANO Takashi
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Fukuoka University
超幾何関数を含む積分変換の研究Principal Investigator
- Principal Investigator
  
  西郷恵
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Fukuoka University
非有界作用素環の構造の研究
- Principal Investigator
  
  井上淳
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Fukuoka University
非線形発展方程式の関数解析的研究
- Principal Investigator
  
  EBIHARA Yukiyoshi
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Fukuoka University
Application of Fractional Calculus to Degenerate Hyperbolic EquationsPrincipal Investigator
- Principal Investigator
  
  SAIGO Megumi
- Project Period (FY)
  1991 – 1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Fukuoka University
逐次的な確率的アルゴリズムと制御問題への応用に関する研究
- Principal Investigator
  
  渡辺正文
- Project Period (FY)
  1987 – 1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Fukuoka University
非線形発展方程式の解の研究
- Principal Investigator
  
  蛯原幸義
- Project Period (FY)
  1986 – 1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Fukuoka University

All 2005 2004

All Journal Article Book

[Book] H-transform,Theory and Applications2004
- Author(s)
  M.Saigo, A.A.Kilbas
- Total Pages
  384
- Publisher
  Chapman &Ha11/CRC
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Book] H-Transforms. Theory and Applications2004
- Author(s)
  A.A.Kilbas, M.Saigo
- Total Pages
  389
- Publisher
  Chapman & Hall/CRC, Boca Raton-London-New York-Washington, D.C.
- Data Source
  KAKENHI-PROJECT-16540178
[Book] H-transforms, Theory and Applications2004
- Author(s)
  M.Saigo, A.A.Kilbas
- Total Pages
  384
- Publisher
  Chapman & Hall/CRC
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Criteria for generalized fractional integrals to preserve univalency of analytic functions2005
- Author(s)
  M.Saigo, V.Kiryakova
- Journal Title
  
  Comptes rendus de l'Academie bulgare des Sciences Vol.58
  
  Pages: 1127-1134
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Characterization theorems for starlike and convex functions in terms of generalized fractional calculus}{2005
- Author(s)
  M.Saigo, Sh.Owa, V.Kiryakova
- Journal Title
  
  Comptes rendus de 1'Academie bulgare des Sciences 58
  
  Pages: 1135-1142
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Inequalities for Saigo's fractional calculus operator2005
- Author(s)
  M.Saigo, Sh.Owa, V.S.Kiryakova
- Journal Title
  
  International J. Math. Sci 4
  
  Pages: 99-109
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Characterization theorems for starlike and convex functions in terms of generalized fractional calculus2005
- Author(s)
  M.Saigo, Sh.Owa, V.Kiryakova
- Journal Title
  
  Comptes rendus dc I'Academie bulgare des Sciences 58
  
  Pages: 1135-1142
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Inequalities for saigo's fractional operators2005
- Author(s)
  S.Owa, M.Saigo, V.S.Kiryakova
- Journal Title
  
  International Journal of Mathematical Sciences 4-2(to appear)
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Fractional integration of the product of Appel function F_3 and multivariable H-function2005
- Author(s)
  M.Saigo, R.K.Saxcna, J.Ram
- Journal Title
  
  J. Fractional Calculus 27
  
  Pages: 31-42
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Fractional integration of the product of Appell function F_3 and multivariable H-function2005
- Author(s)
  M.Saigo, R.K.Saxena, J.Ram
- Journal Title
  
  J. Fractional Calculus 27
  
  Pages: 31-42
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Certain properties of fractional calculus operators associated with generalized Mittag-Leffler function2005
- Author(s)
  M.Saigo, R.K.Saxena
- Journal Title
  
  Fractional Calculus and Applied Analysis Vol.8
  
  Pages: 141-154
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Inequalities for Saigo's fractional calculus operator2005
- Author(s)
  M.Saigo, Sh.Owa, V.S.Kiryakova
- Journal Title
  
  International J. Math. Sci. 4
  
  Pages: 99-109
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Inequalities for Saigo's fractional calculus operator2005
- Author(s)
  M.Saigo, Sh.Owa, V.S.Kiryakova
- Journal Title
  
  International J.Math.Sci. Vol.4
  
  Pages: 99-109
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Certain properties of fractional calculus operators associated with generalized Mittag-Leffler function2005
- Author(s)
  M.Saigo, R.K.Saxena
- Journal Title
  
  Fractional Calculus and Applied Analysis 8
  
  Pages: 141-154
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Characterization theorems for starlike and convex functions in terms of generalized fractional calculus2005
- Author(s)
  M.Saigo, Sh.Owa, V.Kiryakova
- Journal Title
  
  Comptes rendus de l'Academie bulgare des Sciences Vol.58
  
  Pages: 1135-1142
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Criteria for generalized fractional integrals to preserve univalency of analytic functions2005
- Author(s)
  M.Saigo, V.Kiryakova
- Journal Title
  
  Comptes rendus dc I'Academie bulgare des Sciences 58
  
  Pages: 1127-1134
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Criteria for generalized fractional integrals to preserve univalency of analytic functions2005
- Author(s)
  M.Saigo, V.Kiryakova
- Journal Title
  
  Comptes rendus de l'Academie bulgare des Sciences 58
  
  Pages: 1127-1134
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Some inequalities for a hypergeometric fractional calculus operator in classes of univalent functions2005
- Author(s)
  M.Saigo, Sh.Owa, V.S.Kiryakova
- Journal Title
  
  Proceedings of the International Conference on Research Trends in Science and Technology
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Fractional integration of the product of Appel function F_3 and multivariable H-function2005
- Author(s)
  M.Saigo, R.K.Saxena, J.Ram
- Journal Title
  
  J.Fractional Calculus Vol.27
  
  Pages: 31-42
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] A remark on asymptotics Gamma function at infinity2004
- Author(s)
  M.Saigo, A.A.Kilbas
- Journal Title
  
  数理解析研究所講究録 1363
  
  Pages: 33-36
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Generalized Mittag-Leffler function and generalized fractional calculus operators2004
- Author(s)
  A.A.Kilbas, M.Saigo, R.K.Saxena
- Journal Title
  
  Integral Transforms and Special Functions 15-1
  
  Pages: 31-49
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] H-transforms, Theory and Applications2004
- Author(s)
  M.Saigo, A.A.Kilbas
- Journal Title
  
  Chapman & Hall/CRC
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Distortion and characterization theorems for gene-ralized fractional integration operators involving H-function in subclasses of univalent functions2004
- Author(s)
  M.Saigo, V.S.Kiryakova, Sh.Owa
- Journal Title
  
  Sci. Rep.Fukuoka Univ. 34
  
  Pages: 1-16
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Distortion and characterization theorems for generalized fractional integration operators involving H-Function in subclasses of2004
- Author(s)
  V.S.Kiryakova, M.Saigo, S.Owa
- Journal Title
  
  Fukuoka University Science Reports 34-1
  
  Pages: 1-16
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Generalized Mittag-Leffler function and generalized fractional calculus operators2004
- Author(s)
  M.Saigo, A.A.Kilbas, R.K.Saxena
- Journal Title
  
  Integral Transforms and Special Functions 15
  
  Pages: 31-49
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] A remark on asymptotics of the Gamma function at infinity2004
- Author(s)
  M.Saigo, A.A.Kilbas
- Journal Title
  
  Suurikaisekikenkyuushokokyuuroku Vol.1363
  
  Pages: 33-36
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Generalized Mittag-Leffler function and generalized fractional calculus operators2004
- Author(s)
  M.Saigo, A.A.Kilbas, R.K.Saxena
- Journal Title
  
  Integral Transforms and Special Functions Vol.15
  
  Pages: 31-49
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540178
[Journal Article] Distortion and characterization theorems for generalized fractional integration operators involving H-function in subclasses of univalent functions2004
- Author(s)
  M.Saigo, V.S.Kiryakova, Sh.Owa
- Journal Title
  
  Sci.Resp.Fukuoka Univ. Vol.34
  
  Pages: 1-16
- NAID
  110000327779
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540178

1. EBIHARA Yukiyoshi (00078601)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
2. FUKUSHIMA Yukio (40099007)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
3. KUSANO Takashi (70033868)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. SUYAMA Yoshihiko (70028223)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
5. WATANABE Masafumi (70078559)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
6. 井上淳 (50078557)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. SENBA Takashi (30196985)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. TANAKA Naoto (00247222)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. OWA Shigeyoshi (50088506)

# of Collaborated Projects: 3 results

# of Collaborated Products: 11 results
10. 杉万郁夫 (80162890)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
11. SAITOH Hitoshi (10042607)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. YOSHIDA Norio (80033934)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. NAITO Manabu (00106791)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. YOSHIDA Mamoru (60078607)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. YAMADA Naoki (50030789)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. 黒瀬秀樹 (00161795)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. 大島一彦 (50078573)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. KUROKIBA Masaki (60291837)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. AOKI Takashi (80159285)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. IZUMI Shuzo (80025410)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. NUNOKAWA Mamoru (00008137)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. 秋山獻之 (70078575)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. S.B. Yakubov (60268977)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. 白石修二 (30171036)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 星野弘喜 (80238740)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 小田信行 (80112283)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 大西和栄 (20078554)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

SAIGO Megumi 西郷 恵

西郷 恵

Research Projects

Research Products

Co-Researchers

H-transformations and their applications to families of univalent and multivalent functions.Principal Investigator

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A Study on Applications of Fractional Calculus to Univalent and Multivalent FunctionsPrincipal Investigator

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超幾何関数を含む積分変換の研究Principal Investigator

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Application of Fractional Calculus to Degenerate Hyperbolic EquationsPrincipal Investigator

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[Book] H-transform,Theory and Applications2004

Author(s)

Total Pages

Publisher

Description

Data Source

SAIGO Megumi 西郷恵

西郷恵