ABSTRACT
In this chapter we discuss two families of functions that lie, respectively, in Classes I and II. The family in Class I, discussed in part (a), is f(t, k) = sn-1(t, k), 0 < k < 1. Besides a discussion of some of the properties of the primary sequence and determinant representations for the polynomials in the secondary sequences, there are in this section the Maclaurin expansions for sn (t, k) and sn2 (t, k). Theorem 8.11 shows when the factors k2 + 1 and k4 + 14k2 + 1 divide the coefficients in these expansions. The section ends with Carlitz's results on discrete measures for the orthogonal secondary sequences.
