Abstract
This chapter discusses the binomial function along with the expansions in Series of Jacobi and Chebyshev polynomials, and Padé approximations. As the zeros of the Chebyshev polynomials are known, one can easily express the rational approximations as a sum of partial fractions. A certain Newton–Raphson process for finding the square root generates rational approximations of the Padé type. The chapter also discusses coefficients in the polynomials for the Padé approximations for the square and cube roots.
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