| Residential College | false |
| Status | 已發表Published |
| The recurrence coefficients of a deformed semi-classical Laguerre polynomials and the large n asymptotic of the associate Hankel dterminant. | |
Han, P. ; Chen, Y. 
| |
| 2017-07-20 | |
| Source Publication | Random Matrices: Theory and Applications
 |
| ISSN | 2010-3263 |
| Pages | 1740002-1-1740002-20 |
| Abstract | In this paper, we study the recurrence coefficients of a deformed or semi-classical Laguerre polynomials. From the ladder operator approach, and the associated compatibility conditions, the recurrence coefficient satisfied a second-order linear ode. ....We show that the logarithmic derivative of D_n(s) can be expressed in terms of the recurrence coefficients, and obtained the large degree asymptotic of D_n(1). |
| Keyword | Random Mtrices Orthogonal Polynomials Hankel Determinants. |
| Language | 英語English |
| The Source to Article | PB_Publication |
| Document Type | Journal article |
| Collection | DEPARTMENT OF MATHEMATICS |
| Corresponding Author | Chen, Y. |
| Recommended Citation GB/T 7714 | Han, P.,Chen, Y.. The recurrence coefficients of a deformed semi-classical Laguerre polynomials and the large n asymptotic of the associate Hankel dterminant.[J]. Random Matrices: Theory and Applications, 2017, 1740002-1-1740002-20. |
| APA | Han, P.., & Chen, Y. (2017). The recurrence coefficients of a deformed semi-classical Laguerre polynomials and the large n asymptotic of the associate Hankel dterminant.. Random Matrices: Theory and Applications, 1740002-1-1740002-20. |
| MLA | Han, P.,et al."The recurrence coefficients of a deformed semi-classical Laguerre polynomials and the large n asymptotic of the associate Hankel dterminant.".Random Matrices: Theory and Applications (2017):1740002-1-1740002-20. |
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