Faculty of Physics
M.V.Lomonosov Moscow State University
Regular Article

Transformation from the Mittag-Leffler expansion to the expansion of the potential of an arbitrary body in the region of its analyticity

N.A. Chuikova

Moscow University Physics Bulletin 1987. 42. N 6. P. 62

  • Article

A transformation is found between the function 1/(1 - z) of a complex variable, defined a two-dimensional stellar region, to the reciprocal distance $1/\Delta$ that is a function of a real variable defined in three-dimensional space. Formulas relating the coefficients of the expansion of $1/\Delta$ in terms of spherical functions with the coefficients of the Mittag-Leffler expansion of the corresponding complex function 1/(l - z) are derived.

N.A. Chuikova
Sternberg State Institute of Astronomy, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Issue 6, 1987

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