Integral equations for the spin-weighted spheroidal wave functions

CSpace

	Integral equations for the spin-weighted spheroidal wave functions
	Tian, GH
	2005-12-01
发表期刊	CHINESE PHYSICS LETTERS
ISSN	0256-307X
卷号	22 期号:12 页码:3013-3016
摘要	We present new integral equations for the spin-weighted spheroidal wave functions which in turn should lead to global uniform estimates and should help in particular in the study of their dependence on the parameters. For the prolate spheroidal wavefunction with m = 0, there exists the integral equation whose kernel is (sin x)/x, and the sinc function kernel (sin x)/x is of great mathematical significance. We also extend the similar sinc function kernel (sin x)/x to the case m not equal 0 and s not equal 0, which interestingly turn out as some kind of Hankel transformations.
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000233799600008
出版者	CHINESE PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30617
专题	中国科学院数学与系统科学研究院
通讯作者	Tian, GH
作者单位	1.Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tian, GH. Integral equations for the spin-weighted spheroidal wave functions[J]. CHINESE PHYSICS LETTERS,2005,22(12):3013-3016.
APA	Tian, GH.(2005).Integral equations for the spin-weighted spheroidal wave functions.CHINESE PHYSICS LETTERS,22(12),3013-3016.
MLA	Tian, GH."Integral equations for the spin-weighted spheroidal wave functions".CHINESE PHYSICS LETTERS 22.12(2005):3013-3016.