Generations of Monic Polynomials such that the Coefficients of Each Polynomial of the Next Generation Coincide with the Zeros of a Polynomial of the Current Generation, and New Solvable Many-Body Problems-Reference-Cited by-同舟云学术

Generations of Monic Polynomials such that the Coefficients of Each Polynomial of the Next Generation Coincide with the Zeros of a Polynomial of the Current Generation, and New Solvable Many-Body Problems

Published:2016-04-23 Issue:7 Volume:106 Page:1011-1031
ISSN:0377-9017
Container-title:Letters in Mathematical Physics
language:en
Short-container-title:Lett Math Phys

Author:

Bihun Oksana,Calogero Francesco

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s11005-016-0836-8.pdf

Reference15 articles.

1. Calogero, F.: New solvable variants of the goldfish many-body problem. Stud. Appl. Math. doi: 10.1111/sapm.12096

2. Bihun O., Calogero F.: Novel solvable many-body problems. J. Nonlinear Math. Phys. 23, 190–212 (2016)

3. Bruschi, M., Calogero, F.: A convenient expression of the time-derivative $${z_{n}^{\left(k\right)}\left(t\right)}$$ z n k t , of arbitrary order k, of the zero $${z_{n}\left(t\right) }$$ z n t of a time dependent polynomial $${p_{N}\left(z; t\right)}$$ p N z ; t of arbitrary degree N in z, J. Nonlinear Math. Phys. (submitted to, 2016.02.23)

4. Calogero F.: The “neatest” many-body problem amenable to exact treatments (a “goldfish”?). Phys. D. 152(153), 78–84 (2001)

5. Gómez-Ullate D., Sommacal M.: Periods of the goldfish many-body problem. J. Nonlinear Math. Phys. Suppl. 12(1), 351–362 (2005)

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