ABSTRACT

A remarkable interplay exists between the fields of elliptic functions and orthogonal polynomials. In the first monograph to explore their connections, Elliptic Polynomials combines these two areas of study, leading to an interesting development of some basic aspects of each. It presents new material about various classes of polynomials and about t

chapter 1|24 pages

Binomial Sequences of Polynomials

chapter 8|30 pages

The Functions in Classes I and II

chapter 9|4 pages

The Tangent Numbers

chapter 10|44 pages

Class III Functions- The On(x) Polynomials

chapter 11|8 pages

Coefficients of the 011 (x) Polynomials

chapter 12|14 pages

The >.11(x) Polynomials

chapter 13|14 pages

The Orthogonal Sequences {Am(z)} and {Bm(z)}

chapter 14|14 pages

The Weight Functions for {Am(z)} and {Bm(z)}

chapter 15|8 pages

Miscellaneous R.esults

chapter 16|4 pages

Uniqueness and Completion R.esults

chapter 17|18 pages

Polynomial Inequalities

chapter 18|2 pages

Some Concluding Questions