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Browsing Mathematics and Computer Science Faculty Research by Issue Date

Browsing Mathematics and Computer Science Faculty Research by Issue Date

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  • Richards, Kendall C. (Proceedings of the American Mathematical Society, 1993)
    Let f and g be functions analytic on the unit disk and let I* denote the Bergman norm. Conditions are identified under which there exists an absolute constant c, with 0 < c < 1, such that the relationship Ig(z)I < ...
  • Richards, Kendall C. (Mathematics Magazine, 1993)
  • Richards, Kendall C. (Transactions of the American Mathematical Society, 1993)
    Using a theorem of S. Bernstein [1] we prove a special case of the following maximum principle for the Bergman space conjectured by B. Koren- blum [3]: There exists a number S e (0, 1) such that if / and g are ...
  • Richards, Kendall C. (Transactions of the American Mathematical Society, 1995)
    The authors study certain monotoneity and convexity properties of the Gaussian hypergeometric function and those of the Euler gamma function.
  • Richards, Kendall C. (Journal of Approximation Theory, 1998)
    Let {φk}n k=0, n<m, be a family of polynomials orthogonal with respect to the positive semi-definite bilinear form (g, h)d := 1 m Xm j=1 g(xj )h(xj ), xj := −1 + (2j − 1)/m. These polynomials are known as Gram ...
  • Richards, Kendall C. (Siam Journal on Mathematical Analysis, 2000)
    In this paper we verify a conjecture of M. Vuorinen that the Muir approxima- tion is a lower approximation to the arc length of an ellipse. Vuorinen conjectured that f(x) = 2F1( 1 2 , − 1 2 ; 1; x) − [(1 + (1 − ...
  • Richards, Kendall C. (Siam Journal on Mathematical Analysis, 2001)
    Conditions are determined under which 3F2 (−n, a, b; a + b + 2, ε − n + 1; 1) is a monotone function of n satisfying ab· 3F2 (−n, a, b; a + b + 2, ε − n + 1; 1) ≥ ab· 2F1 (a, b; a + b + 2; 1) . Motivated by a conjecture ...
  • Richards, Kendall C. (Computational Methods and Function Theory, 2001)
    Recent efforts to obtain bounds for the complete elliptic integral π 2 · 2F1 −1 2 , 1 2 ; 1; r2 in terms of power means and other related means have precipitated the search for similar bounds for the more ...
  • Richards, Kendall C. (Journal of Mathematical Analysis and Applications, 2005)
    Sharp inequalities are established between the Gaussian hypergeometric function and the power mean. These results extend known inequalities involving the complete elliptic integral and the hyper- geometric mean.
  • Richards, Kendall C. (Journal of Inequalities in Pure and Applied Mathematics, 2006)
    Recently obtained inequalities [12] between the Gaussian hypergeometric func- tion and the power mean are applied to establish new sharp inequalities involv- ing the weighted identric, logartithmic, and power means.
  • Richards, Kendall C. (2007)
    This informal working paper provides an expository survey of some inequalities and associated conjectures involving the Gaussian hypergeometric function 2F1 and closely related bivariate means. Recent as well as previously ...
  • Richards, Kendall C. (Journal of Inequalities in Pure and Applied Mathematics, 2007)
    In this note, we present sharp inequalities relating hypergeometric analogues of the arithmetic-geometric mean discussed in [5] and the power mean. The main result generalizes the corresponding sharp inequality for the ...
  • Denman, Richard; Foster, Stephen (2008)
    The 1-in-3 SAT problem is known to be NP-complete even in the absence of negated variables [1], a variant known as Positive (or Monotone) 1-in-3 SAT. In this note, we use clausal graphs to investigate a further restriction: ...
  • Schrum, Jacob; Miikkulainen, Risto (2008)
    It is difficult to discover effective behavior for NPCs automatically. For instance, evolutionary methods can learn sophisticated behaviors based on a single objective, but realistic game playing requires different ...
  • Anthony, Barbara M.; Denman, Richard (2009)
    The not all equal (NAE) 3-SAT problem is known to be NP-complete even in the absence of negated variables (see [11]), a variant known as positive (or monotone) NAE 3-SAT. In this article, we investigate a related category, ...
  • Schrum, Jacob; Miikkulainen, Risto (IEEE, 2009)
    Evolution is often successful in generating complex behaviors, but evolving agents that exhibit distinctly different modes of behavior under different circumstances (multi-modal behavior) is both difficult and time consuming. ...
  • Richards, Kendall C. (Journal of Mathematical Analysis and Applications, 2009)
    Turán-type inequalities for combinations of Kummer functions involving Φ(a ± ν, c ± ν, x) and Φ(a, c ± ν, x) have been recently investigated in [Á. Baricz, Functional inequalities involving Bessel and modified Bessel ...
  • Schrum, Jacob; Miikkulainen, Risto (ACM, 2010)
    Multiobjective evolutionary algorithms have long been applied to engineering problems. Lately they have also been used to evolve behaviors for intelligent agents. In such applications, it is often necessary to "shape" the ...
  • Anthony, Barbara M. (Mathematics of Operations Research, 2010)
    This paper studies an extension of the k-median problem under uncertain demand. We are given an n-vertex metric space V d and m client sets Si ⊆ V m i=1. The goal is to open a set of k facilities F such that the ...

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