KINDAI UNIVERSITY


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SASAKI Yoshikatsu

Profile

FacultyGeneral Education Division
PositionAssociate Professor
DegreePh.D. in Mathematical Science
Commentator Guidehttps://www.kindai.ac.jp/meikan/2080-sasaki-yoshikatsu.html
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Mail
Last Updated :2020/07/08

Education and Career

Education

  •   1992 04  - 1993 03 , Waseda University, First Department of Literature
  •   1993 04  - 1997 03 , The University of Tokyo, College of Arts and Sciences
  •   1997 04  - 1999 03 , The University of Tokyo, Graduate School of Mathematical Science
  •   1999 04  - 2003 03 , The University of Tokyo, Graduate School of Mathematical Science

Academic & Professional Experience

  •   2017 04 ,  - 現在, Associate Professor, Center for the Advancement of Hgiher Education, Kindai University
  •   2016 04 ,  - 2017 03 , Professor, Department of Education and Creation Engineering, Kurume Institute of Technology
  •   2009 04 ,  - 2016 03 , Assistant Professor, Department of Mathematics, Graduate School of Science, Hiroshima University
  •   2008 04 ,  - 2009 03 , Lecturer, Department of General Science, Tsuruoka National College of Technology
  •   2007 04 ,  - 2008 03 , Research Fellow, Graduate School of Mathematical Science, The University of Tokyo
  •   2005 01 ,  - 2007 03 , Research Assistant Professor, Graduate School of Mathematics, Kyushu University
  •   2003 09 ,  - 2005 01 , COE Researcher, Graduate School of Mathematical Science, The University of Tokyo
  •   2003 04 ,  - 2003 08 , Research Fellow, Graduate School of Mathematical Science, The University of Tokyo

Research Activities

Research Interests

  • Mathematics Education, Value distribution theory, Integrable system, Painleve transcendents

Published Papers

  • Deformation scheme of regular and semiregular polyhedra, Yoshikatsu Sasaki, C.Kamesawa, Bulletin of Kurume Institute of Technology, Bulletin of Kurume Institute of Technology, 39, 55 - 62, Mar. 2017 , Refereed
  • Analysis of Basic Mathematics Examination under Item Response Theory, Y.Nakashima, Yoshikatsu Sasaki, Bulletin of Kurume Institute of Technology, Bulletin of Kurume Institute of Technology, 39, 63 - 71, Mar. 2017 , Refereed
  • Weierstrass' elliptic function solutions to the autonomous limit of the string equation, Yoshikatsu Sasaki, J. Appl. Math. Phys., J. Appl. Math. Phys., 4(4), 857 - 862, Apr. 2016 , Refereed
  • The best constant of discrete Sobolev inequality on a weighted truncated tetrahedron, Yoshikatsu Sasaki, World J. Engi. Tech., World J. Engi. Tech., 3(3C), 149 - 154, Oct. 2015 , Refereed
  • Auxiliary differential polynomials for the first Painleve hierarchy, Yoshikatsu Sasaki, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 91(1), 7 - 8, Jan. 2015 , Refereed
    Summary:This article concerns with the first Painleve hierarchy, i.e. the 2n-th order analogues of the first Painleve equation. Several higher order analogues of the first Painleve equation are proposed by several authors however, we investigate one derived from the KdV hierarchy by studying singularity manifold. We give the auxiliary differential polynomials of the first Painleve hierarchy.
  • Degeneration of the superintegrable system with potentials described by the sixth Painlevé transcendents, Yoshikatsu Sasaki, J. Appl. Math. Phys., J. Appl. Math. Phys., 2(11), 996 - 999, Oct. 2014 , Refereed
  • Weierstrass' elliptic function solution to the autonomous limit of the string equation of type (2,5), Yoshikatsu Sasaki, Adv. Pure Math., Adv. Pure Math., 4(8), 494 - 497, Aug. 2014 , Refereed
  • Lower estimates of the growth order of solutions to the second Painleve hierarchy, Yoshikatsu Sasaki, JOURNAL OF MATHEMATICAL PHYSICS, JOURNAL OF MATHEMATICAL PHYSICS, 54(7), 073510-1 - 073510-13, Jul. 2013 , Refereed
    Summary:This article concerns with the second Painleve hierarchy, i.e., the 2nth order analogues of the second Painleve equation. Though several higher order analogues of the second Painleve equation are proposed by several authors, we investigate one derived from the KdV hierarchy by similarity reduction, and give the lower estimate of the growth order of transcendental meromorphic solutions to the second Painleve hierarchy with an integer parameter. Moreover, the first lemma in Appendix supplements an incompleteness of Li and He ["On analytic properties of higher analogs of the second Painleve equation," J. Math. Phys. 43, 1106-1115 (2002)] and Li ["Some properties of the solutions of higher analogue of the Painleve equation," ActaMath. Appl. Sin. 22, 59-64 (2006)]. (C) 2013 AIP Publishing LLC.
  • Gauge transformation of the sixth Painlevé equation, Yoshikatsu Sasaki, Painlevé Equations and Related Topics, Proceedings of the international conference, Saint Petersburg, Russia, June 17-23, 2011, Eds. A.D. Bruno and A.B. Batkhin, De Gruyter Proceedings in Mathematics, De Gruyter, 2012., Painlevé Equations and Related Topics, Proceedings of the international conference, Saint Petersburg, Russia, June 17-23, 2011, Eds. A.D. Bruno and A.B. Batkhin, De Gruyter Proceedings in Mathematics, De Gruyter, 2012., 137 - 150, Aug. 2012
  • Gauge transformation of the sixth Painlevé equation, Yoshikatsu Sasaki, Painlevé Equations and Related Topics, Proceedings of the International Conference, Euler International Mathematical Institute Saint Petersburg, June 17-23, 2011, Painlevé Equations and Related Topics, Proceedings of the International Conference, Euler International Mathematical Institute Saint Petersburg, June 17-23, 2011, 132 - 134, Jun. 2011
  • Lower estimates of growth order for the second Painlevé transcendents of higher order, Yoshikatsu Sasaki, RIMS Kôkyûroku Bessatsu, RIMS Kôkyûroku Bessatsu, B10, 191 - 203, Nov. 2008 , Refereed
  • A struggle against formulae ーsix proofs of the angular addition formulae―, Yoshikatsu Sasaki, Research reports of Tsuruoka National College of Technology, Research reports of Tsuruoka National College of Technology, 43, 61 - 64, 2008 , Refereed
  • Value distribution of the fifth Painleve transcendents in sectorial domains, Yoshikatsu Sasaki, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 330(2), 817 - 828, Jun. 2007 , Refereed
    Summary:This article is concerned with a value distribution of the fifth Painleve transcendents in sectorial domains around a fixed singular point. We show that the cardinality of the 1-points of a fifth Painleve transcendent in a sector has an asymptotic growth of finite order, thereby giving an improvement of the known estimates. (c) 2006 Elsevier Inc. All rights reserved.
  • Value Distribution of the third Painlevé transcendents in sectorial domains, Yoshikatsu Sasaki, Proc. Japan Acad. Ser. A, Proc. Japan Acad. Ser. A, 83(6), 79 - 82, Jun. 2007 , Refereed
  • Construction of the auxiliary functions for the value distribution of the fifth Painlevé transcendents in sectorial domains, Yoshikatsu Sasaki, RIMS Kôkyûroku Bessatsu, RIMS Kôkyûroku Bessatsu, B2, 209 - 214, Mar. 2007 , Refereed
  • On value distribution of Painlevé transcendents, Yoshikatsu Sasaki, RIMS Kôkyûroku, RIMS Kôkyûroku, 1367, 15 - 28, Apr. 2004
  • Function theoretical study on the Painleve transcendents and a certain generalization, Yoshikatsu Sasaki, The University of Tokyo, The University of Tokyo, Mar. 2003 , Refereed
  • Special solutions of the Hamiltonian system on an elliptic curve, Yoshikatsu Sasaki, J. Math. Sci. Univ. Tokyo, J. Math. Sci. Univ. Tokyo, 9(4), 669 - 687, 2002 , Refereed
  • On a Hamiltonian dynamical system on an elliptic curve ― focusing on deriving polynomial Hamiltonian ―, Yoshikatsu Sasaki, Rokko Lectures in Mathematics, Rokko Lectures in Mathematics, 7, 153 - 171, Mar. 2000
  • On a Hamiltonian dynamical system on an elliptic curve, Yoshikatsu Sasaki, RIMS Kôkyûroku, RIMS Kôkyûroku, 1133, 43 - 52, Feb. 2000
  • On a Hamiltonian dynamical system on an elliptic curve, Yoshikatsu Sasaki, The University of Tokyo, The University of Tokyo, Mar. 1999 , Refereed
  • Nonintegrability of Hamiltonian system perturbed from integrable system with two singular points, Yoshikatsu Sasaki, Masafumi Yoshino, MATHEMATISCHE ZEITSCHRIFT, MATHEMATISCHE ZEITSCHRIFT, 284(3-4), 1005 - 1020, Dec. 2016 , Refereed
    Summary:We give a Hamiltonian system which is nonintegrable in a domain containing two singular points and that is integrable in some neighborhood of a singular point. The system is an arbitrarily small nontrivial perturbation of an integrable Hamiltonian system given by confluence of regular singular points of a generalized hypergeometric system.

Books etc

  • Exercise of Applied Mathematics, Yoshikatsu Sasaki, K.Suzuki, T.Takenawa, Joint editor, Suurikougaku-sha,   2015 11
  • Applied Mathematics, Yoshikatsu Sasaki, K.Suzuki, T.Takenawa, Joint editor, Suurikougaku-sha,   2015 11
  • Exercise of Differential and Integral, Yoshikatsu Sasaki, K.Suzuki, T.Takenawa, Joint editor, Suurikougaku-sha,   2014 11
  • Differential and Integral, Yoshikatsu Sasaki, K.Suzuki, T.Takenawa, Joint editor, Suurikougaku-sha,   2014 11
  • Exercise of Linear Algebra, Yoshikatsu Sasaki, K.Suzuki, T.Takenawa, Joint editor, Suurikougaku-sha,   2013 10
  • Linear Algebra, Yoshikatsu Sasaki, K.Suzuki, T.Takenawa, Joint editor, Suurikougaku-sha,   2013 10
  • Exercise of Fundamental Mathematics, Yoshikatsu Sasaki, K.Suzuki, T.Takenawa, Joint editor, Suurikougaku-sha,   2012 11
  • Fundamental Mathematics, Yoshikatsu Sasaki, K.Suzuki, T.Takenawa, Joint editor, Suurikougaku-sha,   2012 11

Conference Activities & Talks

  • Weierstrass' elliptic function solutions to the autonomous limit of the string equation, Yoshikatsu Sasaki, 2016 Spring World Congress on Engineering and Technology,   2016 04 17
  • The best constant of discrete Sobolev inequality on a weighted truncated tetrahedron, Yoshikatsu Sasaki, The 5th World Congress on Engineering and Technology,   2015 10 23
  • Weierstrass' elliptic function solutions to the autonomous limit of the string equation, Yoshikatsu Sasaki, MSJ Autumn Meeting 2015,   2015 09 13
  • Nonintegrability of Hamiltonian system perturbed from integrable system with two singular points, Yoshikatsu Sasaki, M.Yoshino, MSJ Spring Meeting 2015,   2015 03 21
  • On the redundant and excited Painlevé systems, Yoshikatsu Sasaki, Differential Equation Seminar in Umeda, Osaka,   2015 02 21 , 招待有り
  • Degeneration of the superintegrable system with potentials described by the sixth Painlevé transcendents, Yoshikatsu Sasaki, The 4th World Congress on Engineering and Technology,   2014 10 26
  • Third-degree superintegrable system solved by the sixth Painlevé transcendents, Yoshikatsu Sasaki, MSJ Autumn Meeting 2012,   2012 09 18
  • Lower estimates of the second Painlevé hierarchy derived from the KdV hierarchy, Yoshikatsu Sasaki, Joint Meeting on Conformal Mappings and Value Distribution Theory,   2011 12 03 , 招待有り

Research Grants & Projects

  • Gauge transformation of the Painlevé equations
  • Hiroshima University, Gauge transformation of the Painlevé equations