Abstract
IN investigating the propagation of electrical oscillations along cylindrical conductors, the “K0” function, which satisfies the Bessel's equation and vanishes at infinity, is used to express the vectors outside the wire. Under the conditions of the problem the approximate value of this function for very small arguments is needed. I wish to point out an error in this value, which occurs in all three important memoirs in which the subject has been discussed—viz. those of Prof. J. J. Thomson (“Recent Researches,” p. 263), Sommerfeld (Wied. Ann., lxvii. p. 245, 1899) and Mie (Ann. d. Physik, ii. p. 211, 1900), an error which can, I think, be traced to a misprint in Heine's “Kugelfunctionen.”
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MORTON, W. The Value of the Cylinder Function of the Second Kind for Small Arguments. Nature 63, 29 (1900). https://doi.org/10.1038/063029b0
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DOI: https://doi.org/10.1038/063029b0
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