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Volumn 61, Issue 3, 2010, Pages 425-443

Exact Fourier expansion in cylindrical coordinates for the three-dimensional Helmholtz Green function

Author keywords

[No Author keywords available]

Indexed keywords

ASSOCIATED LEGENDRE FUNCTIONS; CLOSED FORM; CLOSED FORM SOLUTIONS; CYLINDRICAL COORDINATES; FAR-FIELD; FOURIER COEFFICIENTS; FOURIER DECOMPOSITION; FOURIER EXPANSION; FOURTH ORDER ORDINARY DIFFERENTIAL EQUATION; GREEN FUNCTION; HELMHOLTZ; HORN FUNCTION; HYPERGEOMETRIC FUNCTIONS; HYPERGEOMETRIC SOLUTIONS; INTEGRAL REPRESENTATION; NUMERICAL CALCULATION; SERIES SOLUTIONS;

EID: 77952426447     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-009-0039-6     Document Type: Article
Times cited : (25)

References (18)
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    • Conway, J.T.1
  • 5
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    • The acoustic ring source and its application to propeller acoustics
    • Prentice P. R.: The acoustic ring source and its application to propeller acoustics. Proc. R. Soc. Lond. A 437, 629-644 (1992).
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    • Prentice, P.R.1
  • 6
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    • On the azimuthal Fourier components of the Green's function for the Helmholtz equation in three dimensions
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    • Matviyenko, G.1
  • 8
    • 0003115495 scopus 로고    scopus 로고
    • A compact cylindrical Green's function expansion for the solution of potential problems
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    • Cohl, H.S.1    Tohline, J.E.2
  • 14
    • 45949087667 scopus 로고    scopus 로고
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    • Conway J. T.: Fourier series for elliptic integrals and some generalizations via hypergeometric series. Intgr. Transf. Spec. F. 19, 305-315 (2008).
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    • Conway, J.T.1
  • 15
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    • Developments in determining the gravitational potential using toroidal functions
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.