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The scalar field due to a bounded source and obeying the wave equation is analyzed. As a result of this, a set of rules is derived for solving a class of ``wave theories,'' including electrodynamics and general relativity, by expanding the field in a power series of c−1 in null-spherical coordinates. The method is applied for the Maxwell equations to give all the well-known results without the use of Fourier analysis and Bessel functions.
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S. Persides (1971) studied this question.
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