Power series expansions for Mathieu functions with small arguments

G. C. Kokkorakis, J. A. Roumeliotis
2000 Mathematics of Computation  
Power series expansions for the even and odd angular Mathieu functions Sem(h, cos θ) and Som(h, cos θ), with small argument h, are derived for general integer values of m. The expansion coefficients that we evaluate are also useful for the calculation of the corresponding radial functions of any kind.
doi:10.1090/s0025-5718-00-01227-8 fatcat:6coicxiipbdk3iwjcqqzkys2ha