6 papers · 1 filter
Asymptotic expansions for the reciprocal Hardy-Littlewood logarithmic integrals
Glenn Bruda
Defining a family of recurrences, we generalize Comtet's formula for the generating function of the enumeration of indecomposable permutations. Consequently, we generalize Panaitop…
Gromov-Hausdorff distances between quotient metric spaces
Henry Adams, Armando Albornoz, Glenn Bruda +7
The Hausdorff distance measures how far apart two sets are in a common metric space. By contrast, the Gromov-Hausdorff distance provides a notion of distance between two abstract m…
An alternative proof of the Puiseux representation of the exponential integral
Glenn Bruda
Working from definitions and an elementarily obtained integral formula for the Euler-Mascheroni constant, we give an alternative proof of the classical Puiseux representation of th…
A closed formula for linear recurrences with constant coefficients
Glenn Bruda, Bruce Fang, Pico Gilman +6
Given a linear recurrence of the form , it is well-known that , where the sum is taken over the set of characteristic root…
Variants of Conway Checkers and k-nacci Jumping
Glenn Bruda, Joseph Cooper, Kareem Jaber +2
Conway Checkers is a game played with a checker placed in each square of the lower half of an infinite checkerboard. Pieces move by jumping over an adjacent checker, removing the c…
On the convergence of Newton series and the asymptotics of finite differences
Glenn Bruda
Suppose a complex function has a Lebesgue measurable inverse Laplace transform. We show that the th order forward and backward differences of at tend…