ON DIFFERENTIAL EQUATIONS OF VON GEHLEN AND ROAN
Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 43-48

Voir la notice de l'article provenant de la source Cambridge University Press

Polynomials appearing in the description of ground states of superintegrable chiral Potts models are shown to satisfy a special class of generalised hypergeometric differential equations after a simple modification. This proves a conjecture of von-Gehlen and Roan.
DOI : 10.1017/S001708950800476X
Mots-clés : 47E05, 82B23
DATE, ETSURO. ON DIFFERENTIAL EQUATIONS OF VON GEHLEN AND ROAN. Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 43-48. doi: 10.1017/S001708950800476X
@article{10_1017_S001708950800476X,
     author = {DATE, ETSURO},
     title = {ON {DIFFERENTIAL} {EQUATIONS} {OF} {VON} {GEHLEN} {AND} {ROAN}},
     journal = {Glasgow mathematical journal},
     pages = {43--48},
     year = {2009},
     volume = {51},
     number = {A},
     doi = {10.1017/S001708950800476X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950800476X/}
}
TY  - JOUR
AU  - DATE, ETSURO
TI  - ON DIFFERENTIAL EQUATIONS OF VON GEHLEN AND ROAN
JO  - Glasgow mathematical journal
PY  - 2009
SP  - 43
EP  - 48
VL  - 51
IS  - A
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S001708950800476X/
DO  - 10.1017/S001708950800476X
ID  - 10_1017_S001708950800476X
ER  - 
%0 Journal Article
%A DATE, ETSURO
%T ON DIFFERENTIAL EQUATIONS OF VON GEHLEN AND ROAN
%J Glasgow mathematical journal
%D 2009
%P 43-48
%V 51
%N A
%U http://geodesic.mathdoc.fr/articles/10.1017/S001708950800476X/
%R 10.1017/S001708950800476X
%F 10_1017_S001708950800476X

[1] 1.Albertini, G., McCoy, B. M. and Perk, J. H. H., Eigenvalue spectrum of the superintegrable chiral Potts model, in Advanced studies in pure mathematics, vol. 19 (Kinokuniya Academic, Tokyo, 1989), 1–55. Google Scholar

[2] 2.Baxter, R. J., The superintegrable chiral Potts model, Phys. Lett. A, , 185–189. Google Scholar

[3] 3.von Gehlen, G., Onsager's algebra and partially orthogonal polynomials, Int. J. Mod. Phys. B, 16 (2002), 2129–2136. Google Scholar

[4] 4.von Gehlen, G. and Roan, S. S., The superintegrable chiral Potts quantum chain and generalized Chebyshev polynomials, in Integrable structure of exactly solvable two-dimensional models of quantum field theory, vol. 35 (Pakuliak, S. and von Gehlen, G., Editors) (Kluwer Academic Publisher, Dordrecht, 2001), 155–172. Google Scholar

[5] 5.Okubo, K., Takano, K. and Yoshida, S., A connection problem for the generalized hypergeometric equation. Funkcial. Ekvac. 31 (1988), 483–495. Google Scholar

[6] 6.Roan, S. S., Structure of certain Chebyshev-type polynomials in Onsager's algebra representation, J. Comput. Appl. Math. 202 (2007), 88-1-4. Google Scholar

Cité par Sources :