Generalised Error Functions from the Kerr Metric

doi:10.1088/0256-307X/33/3/030401

CSpace > 应用数学研究所

	Generalised Error Functions from the Kerr Metric
	Tang, Wen-Lin 1,2; Luo, Zi-Ren 3,4; Lau, Yun-Kau5,6
	2016-03-01
发表期刊	CHINESE PHYSICS LETTERS
ISSN	0256-307X
卷号	33 期号:3 页码:5
摘要	Motivated 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.
DOI	10.1088/0256-307X/33/3/030401
语种	英语
资助项目	National Natural Science Foundation of China[11171329] ; National Natural Science Foundation of China[11203003] ; National Natural Science Foundation of China[11373013]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000374647900004
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22539
专题	应用数学研究所
通讯作者	Lau, Yun-Kau
作者单位	1.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
推荐引用方式 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.