Correction

In my article “The field of a horizontal magnetic dipole in the presence of a spheroid,” published in the journal Differential Equations, 3, No. 9, 1967, there are inaccuracies. Thus, in (15) it should read

\[ W_{Nn}=-\xi^0\left((\xi^0)^2-1\right)^{1/2} R_{1n}^{(3)\prime}(c,\xi^0) I_5^{Nn} +\left((\xi^0)^2-1\right)^{1/2} R_{1n}^{(3)}(c,\xi^0) I_6^{Nn}. \]

In the expression \(U_{Nn}\), instead of \(\left((\xi^0)^2-1\right)^{1/2}\) there should be \(\left((\xi^0)^2-1\right)\), and in the expression for the integral \(I_6^{Nn}\), instead of \(S_{1n}(c,\eta)\) one should take \(S'_{1n}(c,\eta)\).

In systems (14), (17) it is assumed that \(\beta_0=0\); therefore (17) contains \(2M+1\) equations with \(2M+1\) unknowns, and not \(2M+2\), as stated in the article.

On p. 1548, the conditions for the integrals \(I_2^{Nn}\), \(I_5^{Nn}\), \(I_6^{Nn}\) to vanish are given under the assumption that the spheroidal functions are defined according to Stratton, although throughout the article they are defined according to Flammer.

I thank A. A. Paltsev, who pointed out these inaccuracies to me.

E. A. Ivanov