Computational Classical Analysis
- Fast Algorithms in Classical Analysis.
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J.M. Borwein and P.B. Borwein and D. A. Bailey, "Ramanujan,
modular equations and pi or how to compute a billion digits of pi,"
MAA Monthly, 96(1989),201-219.
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J.M. Borwein and P.B. Borwein, "Pi and the AGM: Topics in
Analytic Number Theory and Computational Complexity", (Wiley, New
York, 1987).
- Hypergeometric Functions, Modular functions and q-Series.
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J.M. Borwein and P.B. Borwein and F. Garvan, "Some cubic modular identities of Ramanujan," Trans. Amer. Math. Soc., to appear.
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J.M. Borwein and P.B. Borwein and F. Garvan, " Hypergeometric analogues of the AGM iteration," Constructive Approximation,
9 (1993),509-523.
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J.M. Borwein and P.B. Borwein, "A cubic counterpart of Jacobi's identity and the AGM," Trans. Amer. Math. Soc., 323(1991),691-701.
- Special Functions.
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J.M. Borwein D. Borwein, R. Shail and I. J. Zucker, "Energy of static electron lattices," J. Phys. A: Math Gen., 21(1988),1519-1531.
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J.M. Borwein, D. Borwein and K.F. Taylor, "Convergence of lattice sums and Madelung's constant," J. Math. Phys., 26(1985),2999-3009.
- Complexity of Approximations.
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- Geometry of Polynomials and Computational Complex Analysis.
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P.B. Borwein, W. Chen and K. Dilcher, "Zeros of Iterated Polynomials," Canadian Journal of Mathematics, to appear.
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P.B. Borwein and W. Chen , "Incomplete rationals in the complex plane," Constructive Approximation, to appear.
- Analytic and Polynomial Inequalities.
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P.B. Borwein and T. Erdelyi , "Polynomials and Polynomial Inequalities", Springer-Verlag, to appear.
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P.B. Borwein, "Exact inequalities for the norms of factors of polynomials," Canadian Journal of Mathematics, to appear.
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P.B. Borwein, T. Erdelyi and J. Zhang, "Chebyshev Polynomials and Bernstein-Markov Type Inequalities for Rational Systems", J. London Math. Soc., to appear.
- Orthogonal and Markov Systems.
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P.B. Borwein, T. Erdelyi and J. Zhang, "Muntz Systems and Orthogonal Muntz-Legendre Polynomials," Trans. Amer. Math. Soc., to appear.
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P.B. Borwein and T. Erdelyi , "Unbounded Bernstein Inequalities" J. Approx. Theory, to appear
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P.B. Borwein, "Zeros of Chebyshev Polynomials in Markov Systems", J. Approx. Theory, 63 (1990),56-64.
- Functional Equations
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