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Generalised Error Functions from the Kerr Metric
Tang, Wen-Lin1,2; Luo, Zi-Ren3,4; Lau, Yun-Kau5,6
2016-03-01
Source PublicationCHINESE PHYSICS LETTERS
ISSN0256-307X
Volume33Issue:3Pages:5
AbstractMotivated by the effort to understand the mathematical structure underlying the Teukolsky equations in a Kerr metric background, a homogeneous integral equation related to the prolate spheroidal function is studied. From the consideration of the Fredholm determinant of the integral equation, a family of generalized error function is defined, with which the Fredholm determinant of the sinc kernel is also evaluated. An analytic solution of a special case of the fifth Painleve transcendent is then worked out explicitly.
DOI10.1088/0256-307X/33/3/030401
Language英语
Funding ProjectNational Natural Science Foundation of China[11171329] ; National Natural Science Foundation of China[11203003] ; National Natural Science Foundation of China[11373013]
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000374647900004
PublisherIOP PUBLISHING LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22539
Collection应用数学研究所
Corresponding AuthorLau, Yun-Kau
Affiliation1.Beijing Aerosp Control Ctr, Sci & Technol Aerosp Flight Dynam Lab, Beijing 100094, Peoples R China
2.Beihang Univ, Sch Astronaut, Dept Aerosp Guidance Nav & Control, Beijing 100191, Peoples R China
3.Leibniz Univ Hannover, QUEST Ctr Quantum Engn & Space Time Res, D-30167 Hannover, Germany
4.Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-30167 Hannover, Germany
5.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Inst Appl Math, Beijing 100190, Peoples R China
6.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LESC, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Tang, Wen-Lin,Luo, Zi-Ren,Lau, Yun-Kau. Generalised Error Functions from the Kerr Metric[J]. CHINESE PHYSICS LETTERS,2016,33(3):5.
APA Tang, Wen-Lin,Luo, Zi-Ren,&Lau, Yun-Kau.(2016).Generalised Error Functions from the Kerr Metric.CHINESE PHYSICS LETTERS,33(3),5.
MLA Tang, Wen-Lin,et al."Generalised Error Functions from the Kerr Metric".CHINESE PHYSICS LETTERS 33.3(2016):5.
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