A Compact Cylindrical Green’s Function Expansion for the Solution of Potential Problems
Author(s) -
Howard S. Cohl,
Joel E. Tohline
Publication year - 1999
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/308062
Subject(s) - bessel function , physics , legendre function , expression (computer science) , spherical harmonics , cylindrical harmonics , function (biology) , exponential function , variety (cybernetics) , series (stratigraphy) , mathematical analysis , integer (computer science) , legendre polynomials , struve function , green's function , series expansion , optics , quantum mechanics , mathematics , orthogonal polynomials , gegenbauer polynomials , evolutionary biology , biology , classical orthogonal polynomials , paleontology , statistics , computer science , programming language
We show that an exact expression for the Greens function in cylindrical coordinates is
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