Arscott and Khabaza (1962) tabulates the coefficients of the polynomials in
Table 29.12.1 (normalized so that the numerically largest
coefficient is unity, i.e. monic polynomials), and the corresponding eigenvalues for
, . Equations from §29.6 can be used
to transform to the normalization adopted in this chapter. Precision is 6S.
Zhang and Jin (1996, Chapter 4) tabulates for
, , 7D; for
, , 8D; for
, , 8S; for
, , 8D; for
, , , , 8S; for
, , 8S; for
, , , 5D;
for , , 7S;
for , , 8S. Corresponding values of the derivative of
each function are also included, as are 6D values of the first 5 -zeros of
and of its derivative for ,
.
Žurina and Karmazina (1964, 1965) tabulate the conical functions
for ,
, 7S;
for ,
, 7D.
Auxiliary tables are included to facilitate computation for larger values of
when .
Žurina and Karmazina (1963) tabulates the conical functions
for ,
, 7S;
for ,
, 7S.
Auxiliary tables are included to assist computation for larger values of
when .
…
►Brief mention of non-unit normalized solutions in the case of mixed spectra appear, but as these solutions are not OP’s details appear elsewhere, as referenced.
…
►By Table 18.3.1#12 the normalized stationary states and corresponding eigenvalues are
…
►There is no need for a normalization constant here, as appropriate constants already appear in §18.36(vi).
…
►Explicit normalization is given for the second, third, and fourth of these, paragraphs c) and d), below.
…
►thus recapitulating, for , line 11 of Table 18.8.1, now shown with explicit normalization for the measure .
…
H. R. McFarland and D. St. P. Richards (2001)Exact misclassification probabilities for plug-in normal quadratic discriminant functions. I. The equal-means case.
J. Multivariate Anal.77 (1), pp. 21–53.
H. R. McFarland and D. St. P. Richards (2002)Exact misclassification probabilities for plug-in normal quadratic discriminant functions. II. The heterogeneous case.
J. Multivariate Anal.82 (2), pp. 299–330.
…
►Abramowitz and Stegun (1964, Chapter 23) includes exact values of , , ; , , , , 20D; , , 18D.
►Wagstaff (1978) gives complete prime factorizations of and for and , respectively.
…