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ISRN Mathematical Physics
Volume 2012 (2012), Article ID 920475, 27 pages
Zeros of the Exceptional Laguerre and Jacobi Polynomials
1Department of Physics, Tamkang University, Tamsui 251, Taiwan
2Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
Received 12 April 2012; Accepted 4 July 2012
Academic Editors: G. Goldin and R. Schiappa
Copyright © 2012 Choon-Lin Ho and Ryu Sasaki. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citations to this Article [7 citations]
The following is the list of published articles that have cited the current article.
- Satoru Odake, and Ryu Sasaki, “Extensions of solvable potentials with finitely many discrete eigenstates,” Journal of Physics A-Mathematical and Theoretical, vol. 46, no. 23, 2013.
- David Gómez-Ullate, Francisco Marcellán, and Robert Milson, “Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials,” Journal of Mathematical Analysis and Applications, vol. 399, no. 2, pp. 480–495, 2013.
- Satoru Odake, “Recurrence relations of the multi-indexed orthogonal polynomials,” Journal of Mathematical Physics, vol. 54, no. 8, pp. 083506, 2013.
- C. -I. Chou, and C. -L. Ho, “Generalized Rayleigh And Jacobi Processes And Exceptional Orthogonal Polynomials,” International Journal Of Modern Physics B, vol. 27, no. 24, 2013.
- David Gomez-Ullate, Yves Grandati, and Robert Milson, “Extended Krein-Adler theorem for the translationally shape invariant potentials,” Journal of Mathematical Physics, vol. 55, no. 4, pp. 043510, 2014.
- Choon-Lin Ho, and Ryu Sasaki, “Extensions of a class of similarity solutions of Fokker-Planck equation with time-dependent coefficients and fixed/moving boundaries,” Journal of Mathematical Physics, vol. 55, no. 11, pp. 113301, 2014.
- Rajesh Kumar Yadav, Nisha Kumari, Avinash Khare, and Bhabani Prasad Mandal, “Group theoretic approach to rationally extended shape invariant potentials,” Annals of Physics, vol. 359, pp. 46–54, 2015.