The Brown Working Papers in the Arts and Sciences is a series of professional papers representing the breadth and depth of research in a liberal arts setting.
This paper focuses on homeopaths’ strategies to popularise homeopathy from 1850 to 1870. I argue that homeopaths created a space for homeopathy in Mexico City in the mid-nineteenth century by facilitating patients’ access ...
In May 1953, a group of Lyon’s political and social leaders hosted a series of Ramadan celebrations in honour of the region’s growing Muslim North African migrant population. While it seems strange that civil authorities ...
How can a single landscape, a shantytown on the
US–Mexico border, symbolize environmental devastation
for some and progress and ‘the good life’ for others? Our
analysis of this landscape and the people who are a part ...
In this article, I analyze the implementation and management of Crooked
Tree Wildlife Sanctuary in rural Creole (Afro-Caribbean) Belize as a pro-
cess of creolization. Encounters between different villagers, Belizean ...
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.(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.(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.(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 ...
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 ...