A determinant expression of Jacobi-Trudi type for the rational solutions of the Painlevé III (PIII) equation is presented. Entries of determinant are given by the Laguerre polynomials. Degeneration of this determinant expression to that for the rational solutions of PII is discussed by applying the coalescence procedure.
|Number of pages||6|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|Publication status||Published - Sep 27 1999|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)