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Chapter

The >.11(x) Polynomials

Chapter

The >.11(x) Polynomials

DOI link for The >.11(x) Polynomials

The >.11(x) Polynomials book

The >.11(x) Polynomials

DOI link for The >.11(x) Polynomials

The >.11(x) Polynomials book

ByJ.S. Lomont, John Brillhart
BookElliptic Polynomials

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Edition 1st Edition
First Published 2000
Imprint Chapman and Hall/CRC
Pages 14
eBook ISBN 9780429181771

ABSTRACT

As we saw in Chapter 2, the sequence of polynomials generated by the inverse function /-1 is closely related to the sequence generated by f. In this chapter we discuss the sequence {.Xn(x)}~=O• the primary sequence of elliptic polynomials of the second kind, related to {c5n(x)}~=O in this way. (Here we use the notation An(x) instead of Bn(x).) Some of the results we obtain here are used in Chapter 14. The final topic of the chapter is an investigation into the zeros of An(x), where it is shown that they are real and distinct, except for the double zero x = 0 of A2n(x), n ~ 1.

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