PUBLICATIONS

Accepted

  1. "Ellipses of minimal area and of minimal eccentricity circumscribed about a convex quadrilateral", Australian Journal of Mathematical Analysis and Applications.

Published

  1. "Ratio vectors of polynomial--like functions", "Journal of Inequalities in Pure and Applied Mathematics", Volume 9, Issue 3, Article 76(2008).
  2. "Means and Hermite Interpolation", Journal of Mathematical Inequalities, Volume 2, Number 1 (2008), 75–95.
  3. "Complex Ratios of Cubic Polynomials", International Journal of Pure and Applied Mathematics, vol. 33, No. 1 (2006), 49-62.
  4. "Ratio vectors of fourth degree polynomials", Journal of Mathematical Analysis and Applications, 313(2006), 132-141.
  5. "Ellipses of maximal area and of minimal eccentricity inscribed in a convex quadrilateral", Australian Journal of Mathematical Analysis and Applications, 2(2005), 1-12.
  6. "Invariant Means", Journal of Mathematical Analysis and Applications", 270(2002), 499-518.
  7. "Finding Ellipses and Hyperbolas Tangent to two, three, or four given Lines", Southwest Journal of Pure and Applied Mathematics 1(2002), 6-32. Download a copy
  8. "Engineering Applications in Differential and Integral Calculus"-with Arya Ebrahimpour, International Journal of Engineering Education, 18(2002), 78-88.
  9. "Compositions of Polynomials with Coefficients in a Given Field", Journal of Mathematical Analysis and Applications, 267(2002), 489-500. Download a copy
  10. "Illumination by Taylor Polynomials", International Journal of Mathematics and Mathematical Sciences 27(2001), 125-130. Download a copy
  11. "A Version of Simpson's Rule for Multiple Integrals", Journal of Computational and Applied Mathematics 134(2001),1-11. Download a copy
  12. "Finding an Ellipse Tangent to finitely many given Lines", Southwest Journal of Pure and Applied Mathematics 2(2000), 122-151.
  13. "Even Compositions of Entire Functions and Related Matters", Journal of the Australian Math Society(Series A) 63(1997), 225–237. Download a copy
  14. "On the Ratio Vectors of Polynomials", Journal of Mathematical Analysis and Applications 205(1997), 568-576. Download a copy
  15. "Means, Generalized Divided Differences, and Intersections of Osculating Hyperplanes", Journal of Mathematical Analysis and Applications 200(1996), 126-148.
  16. "Means and Divided Differences", Journal of Mathematical Analysis and Applications 191(1995), 618-632. Download a copy
  17. "Differentially Real, Homogeneous, and Additive Functions", Journal of Mathematical Analysis and Applications 185(1994), 647-659.
  18. "When is the Composition of Two Power Series Even ?" -with Lee Rubel, Journal of the Australian Math Society(Series A) 56(1994), 415-420.
  19. "A Generalization of Simpson's Rule", Approximation Theory and its Applications 9(1993), 71-80. Download a copy
  20. "Means and Averages of Taylor Polynomials", Journal of Mathematical Analysis and Applications 176(1993), 404-412. Download a copy
  21. "Homogeneous, Isobaric, and Autonomous Algebraic Differential Equations", Journal of Mathematical Analysis and Applications 160(1991), 123-131.
  22. "Differentially Cyclic Functions"-with Lee Rubel, Journal of Differential Equations 88(1990), 87-99.
  23. "Differentially Analytic Functions", Complex Variables 14(1990), 43-52.
  24. "Restricted Range Polynomial Interpolation", Journal of Approximation Theory 62(1990), 39-46.
  25. "Means and Taylor Polynomials", Journal of Mathematical Analysis and Applications 149(1990), 220-235.
  26. "Reconstructing a Function from its Set of Tangent Lines", American Mathematical Monthly 96(1989), 807-813.
  27. "Two Theorems on Inverse Interpolation"-with Lee Rubel, Rocky Mountain Journal of Mathematics 18(1988), 645-653.
  28. "Totally Positive Functions and Totally Bounded Functions on [1, 1]"-with Lee Rubel, Journal of Approximation Theory 52(1988), 204-216.
  29. "A Constructive Approach to Nonnegative Polynomial Interpolation", Approximation Theory and its Applications 3(1987), 25-36.
  30. "The Space of Totally Bounded Analytic Functions"-with Lee Rubel, Proceedings of the Edinburgh Math Society 30(1987), 229-246.
  31. "Restrictions on the Zeroes of Lagrange Interpolants to Analytic Functions"-with Lee Rubel, Complex Variables 6(1986), 149-157.
  32. "An Extremal Problem for Analytic Functions with Prescribed Zeros and rth Derivative in H infinity"-with D.J.Newman, Transactions of the AMS 295(1986), 699-713.
  33. "A Uniqueness Theorem for Monic Blaschke Products"-with Lee Rubel, Proceedings of the AMS 96(1986), 180-182.