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Orthogonal polynomials with a semi-classical weight and their recurrence coefficients
Dan Wang1; Mengkun Zhu2; Yang Chen1
Source PublicationIEEE Access
ISSN2169-3536
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.

KeywordAsymptotics Hankel Determinant Orthogonal Polynomials Semi-classical
Language英語English
DOI10.1109/ACCESS.2020.2992185
URLView the original
Volume8
Pages83916-83925
WOS IDWOS:000549505800005
WOS SubjectComputer Science, Information Systems ; Engineering, Electrical & Electronic ; Telecommunications
WOS Research AreaComputer Science ; Engineering ; Telecommunications
Indexed BySCIE
Scopus ID2-s2.0-85086145243
Fulltext Access
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Document TypeReview article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorMengkun Zhu
Affiliation1.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 AffilicationFaculty 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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