We consider a vertical circular cylinder on
which the vertical variation of water diffraction waves is to be represented by
a series of Laguerre functions ?using Laguerre Polynomials . The variation is assumed to be of the form
[1]
Ten, I. and Chen, X.B. (2011) Zero Speed Rankine-Kelvin Hybrid Method. Bureau Veritas Research Department, 6.
[2]
Guo, B.-Y. and Wang, Z.-Q. (2007) Numerical Integration Based on Laguerre-Gauss interpolation. Comput. Methods Appl. Mech. Engrg, 196, 3726-3741. http://dx.doi.org/10.1016/j.cma.2006.10.035
[3]
Abramowitz, M. and Stegun, I.A. (1967) Handbook of Mathematical Functions. Dover Publications.
[4]
Keilson, J., Nunn, W. and Sumita, U. (1980) The Laguerre Transform. Center for Naval Analysys, 26-28.