Search

Your search keyword '"Nishioka, Seiji"' showing total 5 results
Start Over Author "Nishioka, Seiji" Topic difference algebra
5 results on '"Nishioka, Seiji"'

4. Differential transcendence of solutions of difference Riccati equations and Tietze's treatment.

Author

Nishioka, Seiji

Subjects
*RICCATI equation, *TRANSCENDENCE (Philosophy), *DIFFERENTIAL equations, *MATHEMATICAL models, *MATHEMATICAL analysis
Abstract

Abstract There is the paper by H. Tietze published in 1905 on differential transcendence of solutions of difference Riccati equations. In this paper, we clarify the essence of Tietze's treatment and make it purely algebraic. As an application, the q -Airy equation is studied. [ABSTRACT FROM AUTHOR]

Published
2018
Full Text
View/download PDF

5. Irreducibility of q -Painlevé equation of type A 6 in the sense of order.

Author

Nishioka, Seiji

Subjects
*PAINLEVE equations, *IRREDUCIBLE polynomials, *DIFFERENCE algebra, *DIFFERENTIAL equations, *GROUP extensions (Mathematics)
Abstract

In this paper we will study the irreducibility of q- , q-Painlevé equation of type , in the sense of order using the notion of decomposable extensions. q- is one of the special non-linear q-difference equations of order 2 with symmetry and is also called q- . [ABSTRACT FROM AUTHOR]

Published
2012
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results