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Integral equations for the spin-weighted spheroidal wave functions
Tian, GH
2005-12-01
Source PublicationCHINESE PHYSICS LETTERS
ISSN0256-307X
Volume22Issue:12Pages:3013-3016
AbstractWe 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.
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000233799600008
PublisherCHINESE PHYSICAL SOC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30617
Collection中国科学院数学与系统科学研究院
Affiliation1.Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
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.
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