Laplace series expansion of the potential of a homogeneous circular torus

Technical Physics

Volumn 54, Issue 2, 2009, Pages 176-181

  Kondrat'ev, B P ^a   Dubrovskii, A S ^a   Trubitsyna, N G ^a   Mukhametshina, E Sh ^a  

^a UDMURT STATE UNIVERSITY   (Russian Federation)

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Indexed keywords

EID: 61349084754     PISSN: 10637842     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1063784209020042     Document Type: Article

References (7)

1. B. Riemann, On the Torus Potential (OGIZ, Moscow, 1948), pp. 367-372, translated from G. F. B. Riemann, Gesammelte Mathematische Werke und Wissenschaftlicher Nachlass, hrsg. unter Mitwirkung von Richard Dedekind, von Heinrich Weber (Dover, New York, 1953).
2. A. Züge 1889 J. Reine Angew. Math. 104 89
3. B. P. Kondrat'ev, Potential Theory and Figures of Equilibrium (RKHD, Moscow-Izhevsk, 2003).
4. B. P. Kondrat'ev, Potential Theory: New Methods and Problems with Solutions (Mir, Moscow, 2007) [in Russian].
5. G. N. Duboshin, Celestial Mechanics: Basic Problems and Methods (Nauka, Moscow, 1975) [in Russian].
6. N. N. Lebedev, Special Functions and Their Applications (Fizmatgiz, Moscow, 1963; Prentice-Hall, New York, 1965).
7. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1968; Nauka, Moscow, 1984).