Updated on 2023/02/08

写真a

 
NISHIOKA Seiji
 
Title
Associate Professor
Contact information
メールアドレス
Homepage URL
https://nishiokase.wordpress.com/

Research Areas

  • Natural Science / Mathematical analysis

  • Natural Science / Mathematical analysis

 

Research Career

  • Transcendence of solutions and irreducibility of difference equations, 2008.04 - 2011.03

  • Theory of difference algebra motivated by study on solutions of difference equations, 2011.04 - 2012.03

  • Study on irreducibility of non-linear difference equations and differential transcendence of their solutions, 2012.10 - 2014.03

  • Study on irreducibility of algebraic difference equations and differential transcendence of their solutions, 2014.04 - 2018.03

  • Differential/difference algebraic properties of solutions of difference equations, 2018.04 -

Papers

  • Differential Transcendence of Solutions of the Difference Equation Delta y = ay(2) + by plus c, RESULTS IN MATHEMATICS, 77(5) , 2022.10

    Nishioka Seiji

    Single Author

  • Differential transcendence of solutions of difference Riccati equations and Tietze's treatment, JOURNAL OF ALGEBRA, 511 16-40, 2018.10

    Nishioka Seiji

    Single Author

  • Ultradiscretization of FitzHugh-Nagumo equation, Reports of RIAM Symposiums, 29A0-S7(1) 81-87, 2018.03

    M. Sasaki, S. Nishioka, F. Hongo, M. Murata

    Multiple Authorship (Only Japanese)

  • Differential transcendence of solutions of q-Airy equation, Reports of RIAM Symposiums, 29A0-S7(1) 9-14, 2018.03

    S. Nishioka

    Single Author

  • Transcendence of solutions of q-Airy equation, Josai Mathematical Monographs, 10 129-137, 2017

    Seiji Nishioka

    Single Author

  • Irreducibility of discrete Painleve equation of type D7(1), Funkcialaj Ekvacioj, 60 305-324, 2017

    S. Nishioka

    Single Author

  • Proof of unsolvability of q-Bessel equation using valuations, J. Math. Sci. Univ. Tokyo, 23(4) 763-789, 2016

    Seiji Nishioka

    Single Author

  • Autonomous equations of Mahler type and transcendence, Tsukuba Journal of Mathematics, 2015

    Kumiko Nishioka, Seiji Nishioka

    Multiple Authorship (Including Foreigners)

  • Functions satisfying Poincaré's multiplication formula, Osaka Journal of Mathematics, 2014

    Seiji Nishioka

    Single Author

  • Algebraic independence of solutions of first-order rational difference equations, Results in Mathematics, 2013.11

    Seiji Nishioka

    Single Author

  • Approximation of Poincaré's new functions by rational functions, Journal of Difference Equations and Applications, 2013.02

    Seiji Nishioka

    Single Author

  • Non-elementary solutions of difference equations, J. Differ. Equ. Appl., 2013.01

    Seiji Nishioka

    Single Author

  • Solutions to a $q$-analog of Painlev\'e III equation of type $D_7^{(1)}$, Funkcialaj Ekvacioj, 2013

    N. Nakazono, S. Nishioka

    Multiple Authorship (Including Foreigners)

  • Algebraic theory of difference equations and Mahler functions, Aequationes Mathematicae, 2012.11

    Kumiko Nishioka, Seiji Nishioka

    Multiple Authorship (Including Foreigners)

  • Irreducibility of $q$-Painlevé equation of type $A_6^{(1)}$ in the sense of order, Journal of Difference Equations and Applications, 18(2) 313-333, 2012.02

    S. Nishioka

    Single Author

  • Solvability of difference Riccati equations, RIMS Kôkyûroku, 1765 64-71, 2011.09

    S. Nishioka

    Single Author

  • Transcendence of solutions of $q$-Painlevé equation of type $A_6^{(1)}$, Aequat. Math., 81 121-134, 2011.03

    S. Nishioka

    Single Author

  • Decomposable extensions of difference fields, Funkcial. Ekvac., 53 489-501, 2010.12

    S. Nishioka

    Single Author

  • Solvability of Difference Riccati Equations by Elementary Operations, J. Math. Sci. Univ. Tokyo, 17 159-178, 2010.10

    S. Nishioka

    Single Author

  • Transcendence of Solutions of $q$-Painlevé Equation of Type $A_7^{(1)}$, Aequat. Math., 79 1-12, 2010.03

    S. Nishioka

    Single Author

  • On Solutions of $q$-Painlev\'e Equation of Type $A_7^{(1)}$, Funkcial. Ekvac., 52 41-51, 2009.04

    S. Nishioka

    Single Author

  • Difference algebra associated to the $q$-Painlev\'e equation of type $A_7^{(1)}$, RIMS K\^oky\^uroku Bessatsu, B10 167-176, 2008.11

    S. Nishioka

    Single Author

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Grant-in-Aid for Scientific Research

  • Grant-in-Aid for Scientific Research(C)，2018.04 -

  • Grant-in-Aid for Scientific Research(C)，2018.04 - 2023.03

  • Grant-in-Aid for Young Scientists(B)，2014.04 - 2018.03

  • Grant-in-Aid for Research Activity start-up，2012.10 - 2014.03