Kent Pearce -- Pre-Prints

1. "When is Tail Mean Estimation More Efficient than Tail Median? Answers and Implications for Quantitative Risk Management" with R.W. Barnard and A.A. Trindade.
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2. "Iceberg-type Problems: Estimating Hidden Parts of a Continuum from the Visible Parts" with R.W. Barnard and A.Y. Solynin.
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3. "A Proof of Campbell's Subordination Conjecture" with R.W. Barnard.
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   Referenced Maple Worksheets:

   • campbell-maple-substep1.mws: verify that H(c,x,a) has no local extreme point on $O_r$
   • campbell-maple-substep2a.mws: verify substep2 on set E(r)+
   • campbell-maple-substep2b.mws: verify substep2 on set E(r)-
   • campbell-maple-substep3.mws: verify that H(c,x,a) has no local extreme point on $O_x$
   • campbell-maple-substep4a.mws: verify substep4 on set E(x)+
   • campbell-maple-substep4b.mws: verify substep4 on set E(x)-
   • campbell-maple-substep5.mws: verify that $h_3$ is an upper bound for H(c,x,a) on the x=m boundary of $O_x$

4. "The Verification of an Inequality" with R.W. Barnard.
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5. "A Sharp Bound on the Schwarzian Derivatives of Hyperbolically Convex Function" with R.W. Barnard, L. Cole and G.B. Williams.
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6. "A Variational Method For Hyperbolically Convex Functions" with R.W. Barnard and G.L. Ornas
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7. "Three Extremal Problems for Hyperbolically Convex Functions" with R.W. Barnard and G.B. Williams.
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8. "Area, Width, And Logarithmic Capacity Of Convex Sets" with R.W. Barnard and A.Y. Solynin.
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9. "An Isoperimetric Inequality for Logarithmic Capacity," with R.W. Barnard and A.Y. Solynin.
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10. "Creating a Refereed Electronic Mathematics Journal," with G.A. Harris and S. Cooper.
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11. "A Survey of Applications of the Julia Variation," with R.W. Barnard and C. Campbell.
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12. "Inequalities for the Perimeter of an Ellipse," with R.W. Barnard and L. Schovanec.
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13. "Zeros of Cesàro Sum Approximations," with R.W. Barnard and W. Wheeler.
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14. "A Monotonicity Property Involving ₃F₂ and Comparisons of Classical Approximations of Ellipitcal Arc Length", with R.W. Barnard and K. Richards.
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15. "The Effects of Placement Examinations and Enforcing Prerequisites on Student Success in Entry-Level Mathematics Courses", with R.M. Anderson.
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16. "An Inequality Involving the Generalized Hypergeometric Function and the Arc Length of an Ellipse", with R.W. Barnard and K. Richards.
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17. "Cesàro Sum Approximations of Outer Functions," with R.W. Barnard and J. Cima.
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18. "Gram Polynomials and the Kummer Function" with R.W. Barnard, G. Dahlquist, L. Reichel and K.C. Richards
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19. "On a Coefficient Conjecture of Brannan" with R.W. Barnard and W. Wheeler
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20. "A Short Proof of a Conjecture on the Integral Means of the Derivative of a Convex Function" with R.W. Barnard
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21. "An Application from the Partial Sums of e^z to a Problem in Several Complex Variables" with R.W. Barnard and R.S. Varga
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22. "Sharp Bounds on the H_p Means of the Derivative of a Convex Function for p = -1" with R.W Barnard
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23. "Polynomials with Nonnegative Coefficients" with R.W. Barnard, W. Dayawansa and D. Weinberg
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24. "A Constructive Method for Numerically Computing Conformal Mappings for Gearlike Domains"
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25. "Rounding Corners of Gearlike Domains and the Omitted Area Problem" with R.W. Barnard
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26. "Sums of Exponentials with Polynomial Coefficients" with C.F. Martin and J. Miller
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27. "Numerical Solution of Positive Sum Exponential Equations" with C.F. Martin and J. Miller
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28. "Parameter Identification by Continuation Methods" with C.F. Martin and J. Miller
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29. "A Note on a Problem of Robinson"
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30. "A Product Theorem for F_p Classes and an Application"
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31. "New Support Points of S and Extreme Points of HS
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32. "Generalized Bazilevic Functions" with D.M. Campbell
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