§29.21 Tables

Ince (1940a) tabulates the eigenvalues $\mathop{a^{{m}}_{{\nu}}\/}\nolimits\!\left(k^{2}\right)$ , $\mathop{b^{{m+1}}_{{\nu}}\/}\nolimits\!\left(k^{2}\right)$ (with $\mathop{a^{{2m+1}}_{{\nu}}\/}\nolimits$ and $\mathop{b^{{2m+1}}_{{\nu}}\/}\nolimits$ interchanged) for $k^{2}=0.1,0.5,0.9$ , $\nu=-\frac{1}{2},0(1)25$ , and $m=0,1,2,3$ . Precision is 4D.
Arscott and Khabaza (1962) tabulates the coefficients of the polynomials $P$ in Table 29.12.1 (normalized so that the numerically largest coefficient is unity, i.e. monic polynomials), and the corresponding eigenvalues $h$ for $k^{2}=0.1(.1)0.9$ , $n=1(1)30$ . Equations from §29.6 can be used to transform to the normalization adopted in this chapter. Precision is 6S.