Publications of F.W.J. Olver since 1990

• On Stokes' phenomenon and converging factors. In Asymptotic and Computational Analysis (R. Wong, ed.), Lecture Notes in Pure and Applied Mathematics 124, Marcel Dekker, New York, 1990, pp. 329-355.
• Closure and precision in level-index arithmetic, SIAM J. Numer. Anal. 27 (1990), 1295-1304. (With D. W. Lozier.)
• Uniform, exponentially improved, asymptotic expansions for the generalized exponential integral, SIAM J. Math. Anal. 22 (1991), 1460-1474.
• Uniform, exponentially improved, asymptotic expansions for the confluent hypergeometric function and other integral transforms, SIAM J. Math. Anal. 22 (1991), 1475-1489.
• Converging factors. In Wave Asymptotics (P.A. Martin and G.R. Wickham, eds.), Cambridge University Press, 1992, pp. 54-68.
• Exponentially-improved asymptotic solutions of ordinary differential equations I: The confluent hypergeometric function, SIAM J. Math. Anal. 24 (1993), 756-767.
• Exponentially-improved asymptotic solutions of ordinary differential equations. In Ordinary and Partial Differential Equations (B.D. Sleeman and R.J. Jarvis, eds.), 4, Longman Scientific and Technical, Harlow, Essex, 1993, pp. 238-247.
• Airy and Bessel functions by parallel integration of ODEs. In Proc. Sixth SIAM Conference on Parallel Processing for Scientific Computing, v. 2 (R.F. Sincovec et al., eds.), 1993, pp. 530-538. (With D.W. Lozier.)
• Asymptotic expansions of the coefficients in asymptotic series solutions of linear differential equations, Methods Appl. Anal. 1 (1994), 1-13.
• Exponentially improved asymptotic solutions of ordinary differential equations. II Irregular singularities of rank one, Proc. Roy. Soc. London Ser. A 445 (1994), 39-56. (With A. B. Olde Daalhuis.)
• Numerical evaluation of special functions. In Mathematics of Computation 1943-1993: A Half-Century of Computational Mathematics (W. Gautschi, ed.), Proceedings of Symposia in Applied Mathematics 48, American Mathematical Society, Providence, RI, 1994, pp. 79-125. (With D.W. Lozier.)
• The generalized exponential integral. In Approximation and Computation (R.V.M. Zahar, ed.), International Series of Numerical Mathematics 119, Birkhauser, Basel, 1994, pp. 497-510.
• On an asymptotic expansion of a ratio of Gamma Functions, Proc. Roy. Irish Academy Sect. A 95 (1995), 5-9.
• Hyperasymptotic solutions of second-order linear differential equations I, Methods Appl. Anal. 2 (1995), 173-197. (With A.B. Olde Daalhuis.)
• On the calculation of Stokes multipliers for linear differential equations of the second order, Methods Appl. Anal. 2 (1995), 348-367. (With A.B. Olde Daalhuis.)
• Asymptotic solutions of linear ordinary differential equations at an irregular singularity of rank unity, Methods Appl. Anal. 4 (1997), 375-403.
• Asymptotics and Special Functions, Academic Press, New York, 1974. Reprinted by AK Peters, Wellesley, MA, 1997. Russian translation: Izdatel'stvo Nauka, Moscow, 1990.
• Advances in the asymptotic and numerical solution of linear ordinary differential equations. In Recent Advances in Differential Equations (H-H. Dai and P.L. Sachdev, eds.), Pitman Research Notes in Mathematics Series 386, Addison Wesley Longman, Harlow, Essex, 1998, pp. 3-14.
• Practical problems in the solution of high-order linear differential equations. In Tricomi's Ideas and Contemporary Applied Mathematics, Atti dei Convegni Lincei 147, Accademia Nazionale dei Lincei, Rome, 1998, pp.239-249.
• On the asymptotic and numerical solution of linear ordinary differential equations, SIAM Rev. 40 (1998), 463-495. (With A.B. Olde Daalhuis.)
• On the uniqueness of asymptotic solutions of linear differential equations, Methods Appl. Anal. 6 (1999), 165-174.
• On the reversion of an asymptotic expansion and the zeros of the Airy functions, SIAM Rev. 41 (1999), 762-773. (With B.R. Fabijonas.)
• World Scientific Series in 20th Century Mathematics, v. 7, Selected Papers of F.W.J. Olver, Parts I and II (R. Wong, ed.), World Scientific, Singapore, 2000.
• Resurgence in difference equations, with an application to Legendre functions. [In Press.]