Publication list

[27] T. M. Dunster, M. Yedlin and K. Lam, Resonance and the late coefficients in the scattered field of a dielectric circular cylinder Analysis and Applications, Vol. 4, No. 4 (2006) pp. 311-333.

[26] T. M. Dunster, Uniform asymptotic expansions for incomplete Riemann Zeta functions, J. Comp. and App. Math., 190 (2006) pp. 339-353.

[25] T. M. Dunster, Convergent expansions for solutions of linear ordinary differential equations having a simple pole, with an application to associated Legendre functions, Studies in Applied Math., 113 (2004) pp. 245-270.

[24] T. M. Dunster, Uniform asymptotic approximations for the Whittaker functions M_{k, im} and W_{k, im} , Analysis and Applications, 1 (2003) pp. 199-212.

[23] T. M. Dunster, Uniform asymptotic expansions for associated Legendre functions of large order, Proc. Roy. Soc. Edinburgh Sec. A, 133A, (2003) pp. 807-827.

[22] T. M. Dunster, Uniform asymptotic expansions for Charlier polynomials, J. Approx. Theory, 112 (2001) pp. 93-133.

[21] T. M. Dunster, Convergent expansions for linear ordinary differential equations having a simple turning point, with an application to Bessel functions, Studies in Applied Math., 107 (2001) pp. 293-323.

[20] T. M. Dunster, Uniform asymptotic expansions for the reverse generalised Bessel polynomials, and related functions, SIAM J. Math. Anal., 32 (5) (2001) pp. 987-1013.

[19] T. M. Dunster, Uniform asymptotic approximations for the Jacobi and ultraspherical polynomials, and related functions, Methods and Applications of Analysis, 6 (3) (1999) pp. 281-316.

[18] T. M. Dunster, Asymptotics of the eigenvalues of a rotating harmonic oscillator, J. Comp. and App. Math. 93 (1998) pp. 45-73.

[17] T. M. Dunster, R. B. Paris and S. Cang, On the high-order coefficients in the uniform asymptotic expansion for the incomplete Gamma function, Methods Appl. Anal., 5 (3) (1998) pp. 223-247.

[16] T. M. Dunster, Error analysis in a uniform asymptotic expansion for the generalised exponential integral. J. Comp. and App. Math., 80 (1997) pp. 127-161.

[15] T. M. Dunster, Error bounds for exponentially improved asymptotic solutions of ordinary differential equations having irregular singularities of rank one. Methods and Applications of Analysis, 3 (1) (1996) pp. 109-134.

[14] T. M. Dunster, Asymptotic solutions of second-order linear differential equations having almost coalescent turning points, with an application to the incomplete Gamma function. Proc. Roy. Soc. London, Ser. A, 452 (1996) pp. 1331-1349.

[13] T. M. Dunster, Asymptotics of the generalised exponential integral, and error bounds in the uniform asymptotic smoothing of its Stokes' discontinuities. Proc. Roy. Soc. London, Ser. A, 452 (1996) pp. 1351-1367.

[12] T. M. Dunster, Uniform asymptotic expansions for oblate spheroidal functions II: negative separation parameter l. Proc. Roy. Soc. Edinburgh Sec. A, 125A (1995) pp. 719-737.

[11] T. M. Dunster, Uniform asymptotic solutions of second-order linear differential equations having a simple pole and a coalescing turning point in the complex plane. SIAM J. Math. Anal., 25 (2) (1994) pp. 322-353.

[10] T. M. Dunster, Uniform asymptotic approximations for Mathieu functions. Methods and Applications of Analysis,1 (2) (1994) pp. 143-168.

[9] T. M. Dunster, D. A. Lutz, and R. Sch__fke, Convergent Liouville-Green expansions for second-order linear differential equations, with an application to Bessel functions. Proc. Roy. Soc. London, Ser. A, 440 (1993) pp. 37-54.

[8] T. M. Dunster, Uniform asymptotic expansions for oblate spheroidal functions I: positive separation parameter l. Proc. Roy. Soc. Edinburgh Sec. A, 122A (1992) pp. 303-320.

[7] T. M. Dunster, Conical functions with one or both parameters large. Proc. Roy. Soc. Edinburgh Sec. A, 119A (1991) pp. 311-327.

[6] T. M. Dunster and D. A. Lutz, Convergent factorial series expansions for Bessel functions. SIAM J. Math. Anal., 22 (4) (1991) pp. 1156-1172.

[5] T. M. Dunster, Uniform asymptotic solutions of second-order linear differential equations having a double pole with complex exponent and a coalescing turning point. SIAM J. Math. Anal., 21 (6) (1990) pp. 1594-1618.

[4] T. M. Dunster, Bessel functions of purely imaginary order, with an application to second-order linear differential equations having a large parameter. SIAM J. Math. Anal., 21 (4) (1990) pp. 995-1018.

[3] T. M. Dunster, Uniform asymptotic expansions for Whittaker's confluent hypergeometric functions. SIAM J. Math. Anal., 20 (3) (1989) pp. 744-760.

[2] T. M. Dunster, Uniform asymptotic expansions for prolate spheroidal functions with large parameters. SIAM J. Math. Anal., 17 (6) (1986) pp. 1495-1524.

[1] W. G .C. Boyd and T. M. Dunster, Uniform asymptotic solutions of a class of second-order linear differential equations having a turning point and a regular singularity, with an application to Legendre functions. SIAM J. Math. Anal., 17 (2) (1986) pp. 422-450.