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Image Theory for Neumann Functions in the Prolate Spheroidal Geometry
Joint Authors
Xue, Changfeng
Edmiston, Robert
Deng, Shaozhong
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-11
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Interior and exterior Neumann functions for the Laplace operator are derived in terms of prolate spheroidal harmonics with the homogeneous, constant, and nonconstant inhomogeneous boundary conditions.
For the interior Neumann functions, an image system is developed to consist of a point image, a line image extending from the point image to infinity along the radial coordinate curve, and a symmetric surface image on the confocal prolate spheroid that passes through the point image.
On the other hand, for the exterior Neumann functions, an image system is developed to consist of a point image, a focal line image of uniform density, another line image extending from the point image to the focal line along the radial coordinate curve, and also a symmetric surface image on the confocal prolate spheroid that passes through the point image.
American Psychological Association (APA)
Xue, Changfeng& Edmiston, Robert& Deng, Shaozhong. 2018. Image Theory for Neumann Functions in the Prolate Spheroidal Geometry. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1119281
Modern Language Association (MLA)
Xue, Changfeng…[et al.]. Image Theory for Neumann Functions in the Prolate Spheroidal Geometry. Advances in Mathematical Physics No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1119281
American Medical Association (AMA)
Xue, Changfeng& Edmiston, Robert& Deng, Shaozhong. Image Theory for Neumann Functions in the Prolate Spheroidal Geometry. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1119281
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119281