Residential College | false |
Status | 已發表Published |
Orthogonal polynomials with a semi-classical weight and their recurrence coefficients | |
Dan Wang1; Mengkun Zhu2; Yang Chen1 | |
Source Publication | IEEE Access |
ISSN | 2169-3536 |
2020-05-04 | |
Abstract | Focusing on the weight function (equation presented), we state its asymptotic orthogonal polynomials. Through Toda evolution, differential equations of α(t) and β(t) have been worked. Consequently, we also talk about the approximate value of α(t). Basing on the asymptotic value of α(t) , the asymptotic of second order differential equation of P(z) and expansion of the logarithmic form of Hankel determinant are confirmed. |
Keyword | Asymptotics Hankel Determinant Orthogonal Polynomials Semi-classical |
Language | 英語English |
DOI | 10.1109/ACCESS.2020.2992185 |
URL | View the original |
Volume | 8 |
Pages | 83916-83925 |
WOS ID | WOS:000549505800005 |
WOS Subject | Computer Science, Information Systems ; Engineering, Electrical & Electronic ; Telecommunications |
WOS Research Area | Computer Science ; Engineering ; Telecommunications |
Indexed By | SCIE |
Scopus ID | 2-s2.0-85086145243 |
Fulltext Access | |
Citation statistics | |
Document Type | Review article |
Collection | Faculty of Science and Technology DEPARTMENT OF MATHEMATICS |
Corresponding Author | Mengkun Zhu |
Affiliation | 1.Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macau 2.School of Mathematics and Statistics,Qilu University of Technology (Shandong Academy of Sciences),Jinan,250353,China |
First Author Affilication | Faculty of Science and Technology |
Recommended Citation GB/T 7714 | Dan Wang,Mengkun Zhu,Yang Chen. Orthogonal polynomials with a semi-classical weight and their recurrence coefficients[J]. IEEE Access, 2020, 8, 83916-83925. |
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