Computational Classical Analysis

Fast Algorithms in Classical Analysis.

• 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.
• 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.

• J.M. Borwein and P.B. Borwein and F. Garvan, "Some cubic modular identities of Ramanujan," Trans. Amer. Math. Soc., to appear.
• J.M. Borwein and P.B. Borwein and F. Garvan, " Hypergeometric analogues of the AGM iteration," Constructive Approximation, 9 (1993),509-523.
• 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.

• 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.
• 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.

• J.M. Borwein and P.B. Borwein, "On the complexity of familiar functions and numbers", SIAM Review, 30(1988),589-601.

Geometry of Polynomials and Computational Complex Analysis.

• P.B. Borwein, W. Chen and K. Dilcher, "Zeros of Iterated Polynomials," Canadian Journal of Mathematics, to appear.
• P.B. Borwein and W. Chen , "Incomplete rationals in the complex plane," Constructive Approximation, to appear.

Analytic and Polynomial Inequalities.

• P.B. Borwein and T. Erdelyi , "Polynomials and Polynomial Inequalities", Springer-Verlag, to appear.
• P.B. Borwein, "Exact inequalities for the norms of factors of polynomials," Canadian Journal of Mathematics, to appear.
• 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.

• P.B. Borwein, T. Erdelyi and J. Zhang, "Muntz Systems and Orthogonal Muntz-Legendre Polynomials," Trans. Amer. Math. Soc., to appear.
• P.B. Borwein and T. Erdelyi , "Unbounded Bernstein Inequalities" J. Approx. Theory, to appear
• P.B. Borwein, "Zeros of Chebyshev Polynomials in Markov Systems", J. Approx. Theory, 63 (1990),56-64.

Functional Equations

• J.M. Borwein and R. Girgensohn, "Addition theorems and binary expansions," Canadian Journal of Mathematics, submitted.