| Residential College | false |
| Status | 已發表Published |
| Orthogonal polynomials, bi-confluent Heun equations and semi-classical weights | |
Wang,Dan1; Zhu,Mengkun1,2 ; Chen,Yang1
| |
| 2020-07-02 | |
| Source Publication | Journal of Difference Equations and Applications
 |
| ISSN | 1023-6198 |
| Volume | 26Issue:7Pages:1000-1012 |
| Abstract | In this paper, we focus on four weights (Formula presented.) where (Formula presented.), (Formula presented.), (Formula presented.), N'0; (Formula presented.) where (Formula presented.), (Formula presented.), (Formula presented.); (Formula presented.) with (Formula presented.), (Formula presented.), (Formula presented.), (Formula presented.), where (Formula presented.) is the Heaviside step function; and (Formula presented.) with (Formula presented.), (Formula presented.), N'0, (Formula presented.). The second-order differential equations satisfied by (Formula presented.), the degree-n polynomials orthogonal with respect to each of these weights, are shown to be asymptotically equivalent to the bi-confluent Heun equations as (Formula presented.). In most cases, a parameter other than n must simultaneously be sent to a limiting value. |
| Keyword | Asymptotic Bi-confluent Heun Equation Orthogonal Polynomials Semi-classical |
| DOI | 10.1080/10236198.2020.1812595 |
| URL | View the original |
| Indexed By | SCIE |
| Language | 英語English |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000566589700001 |
| Scopus ID | 2-s2.0-85090211442 |
| Fulltext Access | |
| Citation statistics | |
| Document Type | Journal article |
| Collection | DEPARTMENT OF MATHEMATICS |
| Corresponding Author | Zhu,Mengkun |
| Affiliation | 1.Department of Mathematics,Faculty of Science and Technology,University of Macau,Taipa,Macao 2.School of Mathematics and Statistics,Qilu University of Technology (Shandong Academy of Sciences),Jinan,China |
| First Author Affilication | Faculty of Science and Technology |
| Corresponding Author Affilication | Faculty of Science and Technology |
| Recommended Citation GB/T 7714 | Wang,Dan,Zhu,Mengkun,Chen,Yang. Orthogonal polynomials, bi-confluent Heun equations and semi-classical weights[J]. Journal of Difference Equations and Applications, 2020, 26(7), 1000-1012. |
| APA | Wang,Dan., Zhu,Mengkun., & Chen,Yang (2020). Orthogonal polynomials, bi-confluent Heun equations and semi-classical weights. Journal of Difference Equations and Applications, 26(7), 1000-1012. |
| MLA | Wang,Dan,et al."Orthogonal polynomials, bi-confluent Heun equations and semi-classical weights".Journal of Difference Equations and Applications 26.7(2020):1000-1012. |
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