Vortex motion in rectangular cylinders

Greenhill,Quart. J. of Math., 1877,15, 23–29.

This limitation in the method of images has been pointed out by Ramsey in hisHydromechanics, Part 2, Art. 189, (1913)edition.

We have followed Dr. Glaisher in writingncu = 1/cnu, with a similar notatation for the other elliptic functions.

Routh,Proc. London Math. Soc., 1881,12, 82–84; also RamseyHydromechanics, Part 2, pp. 224–5 (1913 edition).

See Cayley,Elliptic Functions, 1876, 65–66.

For these formula reference may be made to Greenhill,Applications of Elliptic functions, (1892), 255.

This result in the same as obtained by Greenhill,loc. cit., 25.

Greenhill,loc. cit., 26.

Loc. cit., 28.