Edit Profile (opens in new tab) Takei, Yoshitsugu Co-Author Distance Author ID: takei.yoshitsugu Published as: Takei, Yoshitsugu Documents Indexed: 101 Publications since 1986, including 2 Books 5 Contributions as Editor · 2 Further Contributions Reviewing Activity: 69 Reviews Co-Authors: 30 Co-Authors with 70 Joint Publications 525 Co-Co-Authors all top 5 Co-Authors 32 single-authored 54 Kawai, Takahiro 24 Aoki, Takashi 15 Koike, Tatsuya 5 Kamimoto, Shingo 3 Hamada, Yûsaku 3 Kanae, Shunshoku 3 Nanto, H. 3 Ōkaji, Takashi 3 Wada, Kiyoshi 3 Yang, Zijiang 2 Ashino, Ryuichi 2 Berenstein, Carlos Alberto 2 Fujita, Keiko 2 Hirose, Sampei 2 Honda, Naofumi 2 Joshi, Nalini 2 Majima, Hideyuki 2 Morimoto, Akira 2 Nishikawa, Yukihiro 2 Sasaki, Shunsuke 2 Shudo, Akira 2 Tose, Nobuyuki 2 Yoshikawa, Toshinori 2 Zhang, Xi 1 Andronikof, Emmanuel 1 Braun, Rüdiger Winfried 1 Costin, Ovidiu 1 Enomoto, Hikoe 1 Filipuk, Galina V. 1 Hasegawa, Kenji 1 Hitotumatu, Sin 1 Howls, Christopher John 1 Ito, Yoshifumi 1 Kashiwara, Masaki 1 Kataoka, Kiyoomi 1 Kimura, Tatsuo 1 Kitagawa, Keiichiro 1 Kurokawa, Nobushige 1 Lastra, Alberto 1 Meise, Reinhold G. 1 Michalik, Sławomir 1 Miwa, Tetsuji 1 Miyake, Masatake 1 Morimoto, Mitsuo 1 Moteki, Takahiro 1 Namba, Kanji 1 Napoletani, Domenico 1 Nishihara, Masaru 1 Noumi, Masatoshi 1 Sasaki, Shinji 1 Sogawa, Harue 1 Struppa, Daniele Carlo 1 Sugiura, Mitsuo 1 Takasaki, Kanehisa 1 Uchida, Motoo 1 Ueno, Kenji 1 Vogt, Dietmar 1 Wakako, Hideaki 1 Wang, Wei 1 Zampieri, Giuseppe 1 Żołądek, Henryk all top 5 Serials 18 RIMS Kokyuroku 9 Advances in Mathematics 9 RIMS Kôkyûroku Bessatsu 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Proceedings of the Japan Academy. Series A 2 Journal of Mathematics of Kyoto University 2 Sugaku Expositions 2 IEEE Transactions on Signal Processing 2 Journal of Physics A: Mathematical and General 2 Journal of Fixed Point Theory and Applications 1 Applicable Analysis 1 Journal of Mathematical Physics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Differential Equations 1 Opuscula Mathematica 1 The Asian Journal of Mathematics 1 The ANZIAM Journal 1 Progress of Theoretical Physics. Supplement 1 Translations of Mathematical Monographs 1 Complex Analysis and Operator Theory 1 Kyoto Journal of Mathematics 1 SpringerBriefs in Mathematical Physics 1 De Gruyter Proceedings in Mathematics 1 RIMS Kokyuroku all top 5 Fields 83 Ordinary differential equations (34-XX) 22 Partial differential equations (35-XX) 20 Quantum theory (81-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Special functions (33-XX) 6 General and overarching topics; collections (00-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 3 Difference and functional equations (39-XX) 2 History and biography (01-XX) 2 Sequences, series, summability (40-XX) 2 Operator theory (47-XX) 1 Algebraic geometry (14-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 68 Publications have been cited 429 times in 157 Documents Cited by ▼ Year ▼ Algebraic analysis of singular perturbation theory. Transl. from the Japanese by Goro Kato. Zbl 1100.34004 Kawai, Takahiro; Takei, Yoshitsugu 56 2005 The Bender-Wu analysis and the Voros theory. Zbl 0782.35060 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 28 1991 The Bender-Wu analysis and the Voros theory. II. Zbl 1175.34112 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 20 2009 Sato’s conjecture for the Weber equation and transformation theory for Schrödinger equations with a merging pair of turning points. Zbl 1170.34064 Takei, Yoshitsugu 19 2008 Virtual turning points. Zbl 1354.34003 Honda, Naofumi; Kawai, Takahiro; Takei, Yoshitsugu 19 2015 Borel summability of the heat equation with variable coefficients. Zbl 1241.40005 Costin, O.; Park, H.; Takei, Y. 18 2012 New turning points in the exact WKB analysis for higher-order ordinary differential equations. Zbl 0831.34058 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 17 1994 WKB analysis of Painlevé transcendents with a large parameter. I. Zbl 0848.34005 Kawai, Takahiro; Takei, Yoshitsugu 17 1996 WKB analysis of Painlevé transcendents with a large parameter. III: Local reduction of 2-parameter Painlevé transcendents. Zbl 0901.34057 Kawai, Takahiro; Takei, Yoshitsugu 16 1998 WKB analysis of Painlevé transcendents with a large parameter. II: Multiple-scale analysis of Painlevé transcendents. Zbl 0894.34050 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 15 1996 On the exact WKB analysis of operators admitting infinitely many phases. Zbl 1056.34103 Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 14 2004 WKB analysis and Stokes geometry of differential equations. Zbl 1404.34110 Takei, Yoshitsugu 14 2017 On the Voros coefficient for the Whittaker equation with a large parameter – some progress around Sato’s conjecture in exact WKB analysis. Zbl 1231.34156 Koike, Tatsuya; Takei, Yoshitsugu 13 2011 An explicit description of the connection formula for the first Painlevé equation. Zbl 0989.34075 Takei, Yoshitsugu 12 2000 Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations. Zbl 1073.34098 Aoki, Takashi; Kawai, Takahiro; Sasaki, Shunsuke; Shudo, Akira; Takei, Yoshitsugu 11 2005 On the Stokes geometry of higher order Painlevé equations. Zbl 1086.34072 Kawai, Takahiro; Koike, Tatsuya; Nishikawa, Yukihiro; Takei, Yoshitsugu 11 2004 On the WKB-theoretic structure of a Schrödinger operator with a merging pair of a simple pole and a simple turning point. Zbl 1201.34141 Kamimoto, Shingo; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 8 2010 On the exact WKB analysis for the third order ordinary differential equations with a large parameter. Zbl 0963.34045 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 8 1998 Algebraic analysis of singular perturbations – on exact WKB analysis. Zbl 0871.32015 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 8 1993 Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. I: Its WKB-theoretic transformation to the Mathieu equation. Zbl 1293.35300 Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu 8 2014 Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. II: Its relevance to the Mathieu equation and the Legendre equation. Zbl 1293.35301 Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu 7 2014 On the exact steepest descent method: a new method for the description of Stokes curves. Zbl 1063.34047 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 6 2001 Toward the exact WKB analysis for instanton-type solutions of Painlevé hierarchies. Zbl 1213.34114 Takei, Yoshitsugu 5 2007 Secular equations through the exact WKB analysis. Zbl 0834.34068 Kawai, Takahiro; Takei, Yoshitsugu 5 1994 WKB analysis of higher order Painlevé equations with a large parameter – local reduction of 0-parameter solutions for Painlevé hierarchies \((P_{J})\) (\(J=\text{ I, II-1 or II-2}\)). Zbl 1108.34065 Kawai, Takahiro; Takei, Yoshitsugu 5 2006 On the exact WKB analysis of microdifferential operators of WKB type. Zbl 1079.34070 Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 5 2004 Mathematical background for a method on quotient signal decomposition. Zbl 1124.94007 Ashino, Ryuichi; Berenstein, Carlos A.; Fujita, Keiko; Morimoto, Akira; Morimoto, Mitsuo; Napoletani, Domenico; Takei, Yoshitsugu 4 2007 Instanton-type formal solutions for the first Painlevé hierarchy. Zbl 1184.34086 Takei, Yoshitsugu 4 2007 On the exact WKB analysis of higher order simple-pole type operators. Zbl 1231.34155 Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 4 2011 The analytic Cauchy and Goursat problem. (Problème de Cauchy et Goursat analytique.) Zbl 1242.35071 Hamada, Yûsaku; Ōkaji, Takashi; Takei, Yoshitsugu 4 2012 On a WKB-theoretic approach to the Painlevé transcendents. Zbl 1052.34507 Takei, Yoshitsugu 4 1995 Singular-perturbative reduction to Birkhoff normal form and instanton-type formal solutions of Hamiltonian systems. Zbl 0952.34075 Takei, Yoshitsugu 4 1998 Exact WKB analysis of non-adiabatic transition probabilities for three levels. Zbl 1027.81010 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 4 2002 On an exact WKB approach to Ablowitz-Segur’s connection problem for the second Painlevé equation. Zbl 1011.34080 Takei, Yoshitsugu 4 2002 Mathematical view of a blind source separation on a time frequency space. Zbl 1118.62007 Fujita, Keiko; Takei, Yoshitsugu; Morimoto, Akira; Ashino, Ryuichi 3 2007 Microlocal analysis of fixed singularities of WKB solutions of a Schrödinger equation with a merging triplet of two simple poles and a simple turning point. Zbl 1279.34105 Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu 3 2012 WKB analysis of higher order Painlevé equations with a large parameter. II. Structure theorem for instanton-type solutions of \((P_J)_m (J= I, 34\), II-2 or IV) near a simple \(P\)-turning point of the first kind. Zbl 1228.34144 Kawai, Takahiro; Takei, Yoshitsugu 3 2011 The exact steepest descent method – a new steepest descent method based on the exact WKB analysis. Zbl 1072.34105 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 3 2004 On the multisummability of WKB solutions of certain singularly perturbed linear ordinary differential equations. Zbl 1325.34105 Takei, Yoshitsugu 3 2015 Exact WKB analysis of second-order non-homogeneous linear ordinary differential equations. Zbl 1302.34133 Koike, Tatsuya; Takei, Yoshitsugu 3 2013 Exact WKB analysis, and exact steepest descent method – a sequel to: “Algebraic analysis of singular perturbations”. Zbl 1218.34065 Takei, Yoshitsugu 2 2007 Exponential representation of a holomorphic solution of a system of differential equations associated with the theta-zerovalue. Zbl 0973.35055 Berenstein, Carlos A.; Kawai, Takahiro; Struppa, Daniele C.; Takei, Yoshitsugu 2 1996 Toward the exact WKB analysis for higher-order Painlevé equations – the case of Noumi-Yamada systems. Zbl 1076.34099 Takei, Yoshitsugu 2 2004 On the structure of Painlevé transcendents with a large parameter. Zbl 0794.34049 Kawai, Takahiro; Takei, Yoshitsugu 2 1993 Half of the Toulose project Part 5 is completed – structure theorem for instanton-type solutions of \((P_j)_m(J=\text{ I, II or IV})\) near a simple \(P\)-turning point of the first kind. Zbl 1144.34059 Kawai, Takahiro; Takei, Yoshitsugu 1 2008 Virtual turning points – a gift of microlocal analysis to the exact WKB analysis. Zbl 1145.34383 Aoki, Takashi; Honda, Naofumi; Kawai, Takahiro; Koike, Tatsuya; Nishikawa, Yukihiro; Sasaki, Shunsuke; Shudo, Akira; Takei, Yoshitsugu 1 2007 Some problems in algebraic analysis of singular perturbations. Zbl 0938.34532 Kawai, Takahiro; Takei, Yoshitsugu 1 1997 On a WKB-theoretic approach to the Painlevé transcendents. II. Zbl 1024.34081 Takei, Yoshitsugu 1 1998 Can we find a new deformation of \((\text{SL}_J)\)? Conjectures and supporting evidences. Zbl 0940.34072 Kawai, Takahiro; Takei, Yoshitsugu 1 1997 On a Schrödinger equation with a merging pair of simple pole and a simple turning point – alien calculus of WKB solutions through microlocal analysis. Zbl 1251.34103 Kamimoto, Shingo; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 1 2011 On global aspects of exact WKB analysis of operators admitting infinitely many phases. Zbl 1087.34064 Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 1 2005 WKB analysis, period integrals, deformations, \(\ldots\). Zbl 0966.34502 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 1 1992 Exact WKB analysis and connection problems for differential equations. Zbl 0968.34502 Takei, Yoshitsugu 1 2000 The structure of cohomology groups associated with the theta-zerovalues. Zbl 1138.32300 Kashiwara, Masaki; Kawai, Takahiro; Takei, Yoshitsugu 1 1991 Vanishing of Stokes curves. Zbl 1161.34362 Aoki, Takashi; Koike, Tatsuya; Takei, Yoshitsugu 1 2002 On a closed range property of a linear differential operator. Zbl 0607.35033 Kawai, Takahiro; Takei, Yoshitsugu 1 1986 On WKB analysis of higher order Painlevé equations with a large parameter. Zbl 1067.34088 Kawai, Takahiro; Takei, Yoshitsugu 1 2004 Bicharacteristical convexity and the semi-global existence of holomorphic solutions of linear differential equations with holomorphic coefficients. Zbl 0703.35003 Kawai, Takahiro; Takei, Yoshitsugu 1 1990 On the structure of Painlevé transcendents with a large parameter. II. Zbl 0873.34048 Kawai, Takahiro; Takei, Yoshitsugu 1 1996 Algebraic analysis of differential equations. From microlocal analysis to exponential asymptotics. Festschrift in honor of Takahiro Kawai. Containing papers presented at the conference on algebraic analysis of differential equations–from microlocal analysis to exponential asymptotics, Kyoto, Japan, July 7–14, 2005. Zbl 1126.34002 1 2007 Stokes geometry of higher order linear ordinary differential equations and middle convolution. Zbl 1365.34149 Moteki, Takahiro; Takei, Yoshitsugu 1 2017 Exact WKB analysis for the degenerate third Painlevé equation of type \((D_8)\). Zbl 1152.34397 Wakako, Hideaki; Takei, Yoshitsugu 1 2007 The analytic continuation of the solution to the Cauchy problem for a certain differential operator with polynomial coefficients. II. (Le prolongement analytique de la solution du problème de Cauchy pour un certain opérateur différentiel à coefficients polynomiaux. II.) Zbl 1304.35163 Hamada, Yûsaku; Okaji, Takashi; Takei, Yoshitsugu 1 2013 Riccati equations revisited: linearization and analytic interpretation of instanton-type solutions. Zbl 07273472 Takei, Yoshitsugu 1 2020 On the instanton-type expansions for Painlevé transcendents and elliptic functions. Zbl 1444.33013 Takei, Yoshitsugu 1 2020 On the structure of higher order simple-pole type operators in exact WKB analysis. Zbl 1218.34105 Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 1 2010 Pearcey system re-examined from the viewpoint of \(s\)-virtual turning points and non-hereditary turning points. Zbl 1460.34110 Hirose, Sampei; Kawai, Takahiro; Takei, Yoshitsugu 1 2019 On Stokes phenomena for the alternate discrete PI equation. Zbl 1404.34108 Joshi, Nalini; Takei, Yoshitsugu 1 2017 Riccati equations revisited: linearization and analytic interpretation of instanton-type solutions. Zbl 07273472 Takei, Yoshitsugu 1 2020 On the instanton-type expansions for Painlevé transcendents and elliptic functions. Zbl 1444.33013 Takei, Yoshitsugu 1 2020 Pearcey system re-examined from the viewpoint of \(s\)-virtual turning points and non-hereditary turning points. Zbl 1460.34110 Hirose, Sampei; Kawai, Takahiro; Takei, Yoshitsugu 1 2019 WKB analysis and Stokes geometry of differential equations. Zbl 1404.34110 Takei, Yoshitsugu 14 2017 Stokes geometry of higher order linear ordinary differential equations and middle convolution. Zbl 1365.34149 Moteki, Takahiro; Takei, Yoshitsugu 1 2017 On Stokes phenomena for the alternate discrete PI equation. Zbl 1404.34108 Joshi, Nalini; Takei, Yoshitsugu 1 2017 Virtual turning points. Zbl 1354.34003 Honda, Naofumi; Kawai, Takahiro; Takei, Yoshitsugu 19 2015 On the multisummability of WKB solutions of certain singularly perturbed linear ordinary differential equations. Zbl 1325.34105 Takei, Yoshitsugu 3 2015 Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. I: Its WKB-theoretic transformation to the Mathieu equation. Zbl 1293.35300 Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu 8 2014 Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. II: Its relevance to the Mathieu equation and the Legendre equation. Zbl 1293.35301 Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu 7 2014 Exact WKB analysis of second-order non-homogeneous linear ordinary differential equations. Zbl 1302.34133 Koike, Tatsuya; Takei, Yoshitsugu 3 2013 The analytic continuation of the solution to the Cauchy problem for a certain differential operator with polynomial coefficients. II. (Le prolongement analytique de la solution du problème de Cauchy pour un certain opérateur différentiel à coefficients polynomiaux. II.) Zbl 1304.35163 Hamada, Yûsaku; Okaji, Takashi; Takei, Yoshitsugu 1 2013 Borel summability of the heat equation with variable coefficients. Zbl 1241.40005 Costin, O.; Park, H.; Takei, Y. 18 2012 The analytic Cauchy and Goursat problem. (Problème de Cauchy et Goursat analytique.) Zbl 1242.35071 Hamada, Yûsaku; Ōkaji, Takashi; Takei, Yoshitsugu 4 2012 Microlocal analysis of fixed singularities of WKB solutions of a Schrödinger equation with a merging triplet of two simple poles and a simple turning point. Zbl 1279.34105 Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu 3 2012 On the Voros coefficient for the Whittaker equation with a large parameter – some progress around Sato’s conjecture in exact WKB analysis. Zbl 1231.34156 Koike, Tatsuya; Takei, Yoshitsugu 13 2011 On the exact WKB analysis of higher order simple-pole type operators. Zbl 1231.34155 Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 4 2011 WKB analysis of higher order Painlevé equations with a large parameter. II. Structure theorem for instanton-type solutions of \((P_J)_m (J= I, 34\), II-2 or IV) near a simple \(P\)-turning point of the first kind. Zbl 1228.34144 Kawai, Takahiro; Takei, Yoshitsugu 3 2011 On a Schrödinger equation with a merging pair of simple pole and a simple turning point – alien calculus of WKB solutions through microlocal analysis. Zbl 1251.34103 Kamimoto, Shingo; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 1 2011 On the WKB-theoretic structure of a Schrödinger operator with a merging pair of a simple pole and a simple turning point. Zbl 1201.34141 Kamimoto, Shingo; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 8 2010 On the structure of higher order simple-pole type operators in exact WKB analysis. Zbl 1218.34105 Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 1 2010 The Bender-Wu analysis and the Voros theory. II. Zbl 1175.34112 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 20 2009 Sato’s conjecture for the Weber equation and transformation theory for Schrödinger equations with a merging pair of turning points. Zbl 1170.34064 Takei, Yoshitsugu 19 2008 Half of the Toulose project Part 5 is completed – structure theorem for instanton-type solutions of \((P_j)_m(J=\text{ I, II or IV})\) near a simple \(P\)-turning point of the first kind. Zbl 1144.34059 Kawai, Takahiro; Takei, Yoshitsugu 1 2008 Toward the exact WKB analysis for instanton-type solutions of Painlevé hierarchies. Zbl 1213.34114 Takei, Yoshitsugu 5 2007 Mathematical background for a method on quotient signal decomposition. Zbl 1124.94007 Ashino, Ryuichi; Berenstein, Carlos A.; Fujita, Keiko; Morimoto, Akira; Morimoto, Mitsuo; Napoletani, Domenico; Takei, Yoshitsugu 4 2007 Instanton-type formal solutions for the first Painlevé hierarchy. Zbl 1184.34086 Takei, Yoshitsugu 4 2007 Mathematical view of a blind source separation on a time frequency space. Zbl 1118.62007 Fujita, Keiko; Takei, Yoshitsugu; Morimoto, Akira; Ashino, Ryuichi 3 2007 Exact WKB analysis, and exact steepest descent method – a sequel to: “Algebraic analysis of singular perturbations”. Zbl 1218.34065 Takei, Yoshitsugu 2 2007 Virtual turning points – a gift of microlocal analysis to the exact WKB analysis. Zbl 1145.34383 Aoki, Takashi; Honda, Naofumi; Kawai, Takahiro; Koike, Tatsuya; Nishikawa, Yukihiro; Sasaki, Shunsuke; Shudo, Akira; Takei, Yoshitsugu 1 2007 Algebraic analysis of differential equations. From microlocal analysis to exponential asymptotics. Festschrift in honor of Takahiro Kawai. Containing papers presented at the conference on algebraic analysis of differential equations–from microlocal analysis to exponential asymptotics, Kyoto, Japan, July 7–14, 2005. Zbl 1126.34002 1 2007 Exact WKB analysis for the degenerate third Painlevé equation of type \((D_8)\). Zbl 1152.34397 Wakako, Hideaki; Takei, Yoshitsugu 1 2007 WKB analysis of higher order Painlevé equations with a large parameter – local reduction of 0-parameter solutions for Painlevé hierarchies \((P_{J})\) (\(J=\text{ I, II-1 or II-2}\)). Zbl 1108.34065 Kawai, Takahiro; Takei, Yoshitsugu 5 2006 Algebraic analysis of singular perturbation theory. Transl. from the Japanese by Goro Kato. Zbl 1100.34004 Kawai, Takahiro; Takei, Yoshitsugu 56 2005 Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations. Zbl 1073.34098 Aoki, Takashi; Kawai, Takahiro; Sasaki, Shunsuke; Shudo, Akira; Takei, Yoshitsugu 11 2005 On global aspects of exact WKB analysis of operators admitting infinitely many phases. Zbl 1087.34064 Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 1 2005 On the exact WKB analysis of operators admitting infinitely many phases. Zbl 1056.34103 Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 14 2004 On the Stokes geometry of higher order Painlevé equations. Zbl 1086.34072 Kawai, Takahiro; Koike, Tatsuya; Nishikawa, Yukihiro; Takei, Yoshitsugu 11 2004 On the exact WKB analysis of microdifferential operators of WKB type. Zbl 1079.34070 Aoki, Takashi; Kawai, Takahiro; Koike, Tatsuya; Takei, Yoshitsugu 5 2004 The exact steepest descent method – a new steepest descent method based on the exact WKB analysis. Zbl 1072.34105 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 3 2004 Toward the exact WKB analysis for higher-order Painlevé equations – the case of Noumi-Yamada systems. Zbl 1076.34099 Takei, Yoshitsugu 2 2004 On WKB analysis of higher order Painlevé equations with a large parameter. Zbl 1067.34088 Kawai, Takahiro; Takei, Yoshitsugu 1 2004 Exact WKB analysis of non-adiabatic transition probabilities for three levels. Zbl 1027.81010 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 4 2002 On an exact WKB approach to Ablowitz-Segur’s connection problem for the second Painlevé equation. Zbl 1011.34080 Takei, Yoshitsugu 4 2002 Vanishing of Stokes curves. Zbl 1161.34362 Aoki, Takashi; Koike, Tatsuya; Takei, Yoshitsugu 1 2002 On the exact steepest descent method: a new method for the description of Stokes curves. Zbl 1063.34047 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 6 2001 An explicit description of the connection formula for the first Painlevé equation. Zbl 0989.34075 Takei, Yoshitsugu 12 2000 Exact WKB analysis and connection problems for differential equations. Zbl 0968.34502 Takei, Yoshitsugu 1 2000 WKB analysis of Painlevé transcendents with a large parameter. III: Local reduction of 2-parameter Painlevé transcendents. Zbl 0901.34057 Kawai, Takahiro; Takei, Yoshitsugu 16 1998 On the exact WKB analysis for the third order ordinary differential equations with a large parameter. Zbl 0963.34045 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 8 1998 Singular-perturbative reduction to Birkhoff normal form and instanton-type formal solutions of Hamiltonian systems. Zbl 0952.34075 Takei, Yoshitsugu 4 1998 On a WKB-theoretic approach to the Painlevé transcendents. II. Zbl 1024.34081 Takei, Yoshitsugu 1 1998 Some problems in algebraic analysis of singular perturbations. Zbl 0938.34532 Kawai, Takahiro; Takei, Yoshitsugu 1 1997 Can we find a new deformation of \((\text{SL}_J)\)? Conjectures and supporting evidences. Zbl 0940.34072 Kawai, Takahiro; Takei, Yoshitsugu 1 1997 WKB analysis of Painlevé transcendents with a large parameter. I. Zbl 0848.34005 Kawai, Takahiro; Takei, Yoshitsugu 17 1996 WKB analysis of Painlevé transcendents with a large parameter. II: Multiple-scale analysis of Painlevé transcendents. Zbl 0894.34050 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 15 1996 Exponential representation of a holomorphic solution of a system of differential equations associated with the theta-zerovalue. Zbl 0973.35055 Berenstein, Carlos A.; Kawai, Takahiro; Struppa, Daniele C.; Takei, Yoshitsugu 2 1996 On the structure of Painlevé transcendents with a large parameter. II. Zbl 0873.34048 Kawai, Takahiro; Takei, Yoshitsugu 1 1996 On a WKB-theoretic approach to the Painlevé transcendents. Zbl 1052.34507 Takei, Yoshitsugu 4 1995 New turning points in the exact WKB analysis for higher-order ordinary differential equations. Zbl 0831.34058 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 17 1994 Secular equations through the exact WKB analysis. Zbl 0834.34068 Kawai, Takahiro; Takei, Yoshitsugu 5 1994 Algebraic analysis of singular perturbations – on exact WKB analysis. Zbl 0871.32015 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 8 1993 On the structure of Painlevé transcendents with a large parameter. Zbl 0794.34049 Kawai, Takahiro; Takei, Yoshitsugu 2 1993 WKB analysis, period integrals, deformations, \(\ldots\). Zbl 0966.34502 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 1 1992 The Bender-Wu analysis and the Voros theory. Zbl 0782.35060 Aoki, Takashi; Kawai, Takahiro; Takei, Yoshitsugu 28 1991 The structure of cohomology groups associated with the theta-zerovalues. Zbl 1138.32300 Kashiwara, Masaki; Kawai, Takahiro; Takei, Yoshitsugu 1 1991 Bicharacteristical convexity and the semi-global existence of holomorphic solutions of linear differential equations with holomorphic coefficients. Zbl 0703.35003 Kawai, Takahiro; Takei, Yoshitsugu 1 1990 On a closed range property of a linear differential operator. Zbl 0607.35033 Kawai, Takahiro; Takei, Yoshitsugu 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 173 Authors 27 Takei, Yoshitsugu 16 Kawai, Takahiro 10 Aoki, Takashi 10 Iwaki, Kohei 8 Koike, Tatsuya 7 Malek, Stéphane 7 Ünsal, Mithat 5 Neitzke, Andrew 4 Ashino, Ryuichi 4 Enomoto, Seishi 4 Hollands, Lotte 4 Kamimoto, Shingo 4 Lastra, Alberto 4 Matsuda, Tomohiro 4 Morimoto, Akira 3 Gaiotto, Davide 3 Ito, Katsushi 3 Joshi, Nalini 3 Komijani, Javad 3 Mandai, Takeshi 3 Masoero, Davide 3 Shapiro, Boris Zalmanovich 3 Sulejmanpasic, tin 3 Umeta, Yoko 2 Bender, Carl M. 2 Bentrad, Ali 2 Bertola, Marco 2 Chernyak, Vladimir Y. 2 Dunne, Gerald V. 2 Getmanenko, Alexander 2 Hamada, Yûsaku 2 Kamata, Syo 2 Kashani-Poor, Amir-Kian 2 Katzarkov, Ludmil 2 Kidwai, Omar 2 Klimeš, Martin 2 Kondo, Takayasu 2 Kudryashov, Nikolaĭ Alekseevich 2 Lee, Jihoon 2 Lustri, Christopher J. 2 Marchal, Olivier 2 Misumi, Tatsuhiro 2 Ōkaji, Takashi 2 Pandit, Pranav 2 Saenz, Axel 2 Sasaki, Shinji 2 Shu, Hongfei 2 Simpson, Carlos Tschudi 2 Sinitsyn, Nikolai A. 2 Sueishi, Naohisa 2 Takahashi, Toshinori 2 Takei, Yumiko 2 Troost, Jan 2 Uchida, Shofu 2 Wang, Qinghai 2 Wu, Jingxiang 2 Yoshida, Junichi 1 Alim, Murad 1 Armel, Jonathan 1 Ashok, Sujay K. 1 Balazs, Peter 1 Başar, Gökçe 1 Bøgvad, Rikard 1 Borcea, Julius 1 Borrego-Morell, Jorge A. 1 Bridgeland, Tom 1 Bucciotti, Bruno 1 Chapman, Stephen Jonathan 1 Chavez-Heredia, Eduardo 1 Cherman, Aleksey 1 Chiba, Hayato 1 Claeys, Tom 1 Costin, Rodica D. 1 D’Agnolo, Andrea 1 de Mello Koch, Robert 1 Deaño, Alfredo 1 Del Monte, Fabrizio 1 Delabaere, Eric 1 Dumitrescu, Olivia M. 1 Ebenfelt, Peter 1 Fırat, Atakan Hilmi 1 Fredrickson, Laura 1 Fuji, Hiroyuki 1 Fujiié, Setsuro 1 Fujita, Keiko 1 Gabella, Maxime 1 Gandote, Eunice 1 Grassi, Alba 1 Grava, Tamara 1 Gu, Jie 1 Gulden, Tobias 1 Gurariĭ, Volodymyr Petrovych 1 Hao, Qianyu 1 Hashiba, Soichiro 1 Hirose, Sampei 1 Holighaus, Nicki 1 Holst, Thomas 1 Honda, Masazumi 1 Honda, Naofumi 1 Howes, Phil ...and 73 more Authors all top 5 Cited in 52 Serials 26 Journal of High Energy Physics 13 Publications of the Research Institute for Mathematical Sciences, Kyoto University 11 Advances in Mathematics 10 Journal of Physics A: Mathematical and Theoretical 8 Communications in Mathematical Physics 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Proceedings of the Japan Academy. Series A 4 Journal of Differential Equations 4 Journal of the Mathematical Society of Japan 3 Letters in Mathematical Physics 3 Constructive Approximation 3 Integral Transforms and Special Functions 3 Annales Henri Poincaré 2 Applicable Analysis 2 Journal of Mathematical Physics 2 Applied Mathematics and Computation 2 Funkcialaj Ekvacioj. Serio Internacia 2 Abstract and Applied Analysis 2 Regular and Chaotic Dynamics 2 Advances in Difference Equations 2 Complex Variables and Elliptic Equations 2 Journal of Fixed Point Theory and Applications 1 Computer Physics Communications 1 Israel Journal of Mathematics 1 Journal of Fluid Mechanics 1 Nuclear Physics. 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New Series 1 Journal of Dynamical and Control Systems 1 Qualitative Theory of Dynamical Systems 1 The ANZIAM Journal 1 Journal of Mathematical Physics, Analysis, Geometry 1 Complex Analysis and Operator Theory 1 Kyoto Journal of Mathematics 1 Analysis and Mathematical Physics all top 5 Cited in 35 Fields 90 Ordinary differential equations (34-XX) 61 Quantum theory (81-XX) 28 Partial differential equations (35-XX) 14 Algebraic geometry (14-XX) 14 Special functions (33-XX) 9 Functions of a complex variable (30-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Relativity and gravitational theory (83-XX) 6 Number theory (11-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Differential geometry (53-XX) 5 Sequences, series, summability (40-XX) 5 Operator theory (47-XX) 5 Information and communication theory, circuits (94-XX) 4 Approximations and expansions (41-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Numerical analysis (65-XX) 3 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 2 Mathematical logic and foundations (03-XX) 2 Category theory; homological algebra (18-XX) 2 Potential theory (31-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year