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Volumn 64, Issue 10, 2006, Pages 664-672

Alternative separation of Laplace's equation in toroidal coordinates and its application to electrostatics

Author keywords

Laplace equation; Legendre polynomials; Separation of variables; Toroidal coordinates

Indexed keywords

ELECTRIC CHARGE; FUNCTIONS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; POLYNOMIALS;

EID: 33745826990     PISSN: 03043886     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.elstat.2005.11.005     Document Type: Article
Times cited : (29)

References (19)
  • 2
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    • P. Moon, D.E. Spencer, Field Theory Handbook, Springer, Berlin, pp. 112-115.
  • 3
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    • J. Vanderlinde, Classical Electromagnetic Theory, Wiley, New York, 1993, pp. 356-360.
  • 4
    • 33745842682 scopus 로고    scopus 로고
    • W.R. Smythe, Static and Dynamic Electricity, McGraw-Hill, London, 1939, p. 60.
  • 5
    • 33745845608 scopus 로고    scopus 로고
    • J.A. Stratton, Electromagnetic Theory, McGraw-Hill, London, 1941, p. 218.
  • 8
    • 33745824718 scopus 로고    scopus 로고
    • The asymptotic behavior of the Legendre functions can be gleaned from Ref. [7], but an easier source to use is at the web address: .
  • 10
    • 33745820448 scopus 로고    scopus 로고
    • N.N. Lebedev, Special Functions and their Applications, Prentice-Hall, Englewood Cliffs, NJ, 1965, p. 188.
  • 12
    • 33745852887 scopus 로고    scopus 로고
    • V.V. Batygin, I.N. Toptygin, Problems in Electrodynamics, Academic Press, New York, 1962, pp. 45-46.
  • 13
    • 33745867721 scopus 로고    scopus 로고
    • A. Erdlyi (Ed.), Higher Transcendental Functions, vol. I, McGraw-Hill, London, 1953, p. 115, Eq. (5).
  • 14
    • 33745825653 scopus 로고    scopus 로고
    • A. Erdlyi (Ed.), Higher Transcendental Functions, vol. I, McGraw-Hill, London, 1953, p. 173, Eq. (5).
  • 16
    • 33745861431 scopus 로고    scopus 로고
    • E.T. Whittaker, G.N. Watson, A Course of Modern Analysis, fourth ed., Cambridge University Press, Cambridge, 1962, p. 321.
  • 17
    • 33745868088 scopus 로고    scopus 로고
    • E.W. Hobson, The Theory of Spherical and Ellipsoidal Harmonics, Cambridge University Press, Cambridge, 1939, p. 69.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.