Search Results - "Borwein, David"

Deriving New Sinc Results from Old by Borwein, David, Borwein, Jonathan

“…From previously established results in [2], we develop a simple proof of Keith Ball's expression in [1] for the volume of the intersection of an (n−…”
Get full text

On the Solution of Linear Mean Recurrences by Borwein, David, Borwein, Jonathan M., Sims, Brailey

“…Motivated by questions of algorithm analysis, we provide several distinct approaches to determining convergence and limit values for a class of linear…”
Get full text

A Sinc that Sank by David Borwein, Jonathan M. Borwein, Armin Straub

“…We resolve and further study a sinc integral evaluation, first posed in this Monthly in [1967, p. 1015], which was solved in [1968, p. 914] and withdrawn in…”
Get full text

L p Norms and the Sinc Function by David Borwein, Jonathan M. Borwein, Isaac E. Leonard

“…It's everywhere! It's everywhere! … In this note we give elementary proofs of some of the striking asymptotic properties of the p-norm of the ubiquitous sine…”
Get full text

On Eulerian log-gamma integrals and Tornheim–Witten zeta functions by Bailey, David H., Borwein, David, Borwein, Jonathan M.

Get full text

Lp Norms and the Sinc Function by Borwein, David, Borwein, Jonathan M., Leonard, Isaac E.

“…It's everywhere! It's everywhere! ... In this note we give elementary proofs of some of the striking asymptotic properties of the p-norm of the ubiquitous sine…”
Get full text

On lattice sums and Wigner limits by Borwein, David, Borwein, Jonathan M., Straub, Armin

“…Wigner limits are given formally as the difference between a lattice sum, associated to a positive definite quadratic form, and a corresponding multiple…”
Get full text

Convergence of Madelung-like lattice sums by Borwein, David, Borwein, Jonathan M., Pinner, Christopher

“…We make a general study of the convergence properties of lattice sums, involving potentials, of the form occurring in mathematical chemistry and physics. Many…”
Get full text

Mathematics by Experiment: Plausible Reasoning in the 21st Century by Borwein, Jonathan, Bailey, David

Get full text

On Eulerian log-gamma integrals and Tornheim–Witten zeta functions by Bailey, David H., Borwein, David, Borwein, Jonathan M.

“…Stimulated by earlier work by Moll and his coworkers (Amdeberhan et al., Proc. Am. Math. Soc., 139(2):535–545, 2010 ), we evaluate various basic log Gamma…”
Get full text

A Sinc that Sank by Borwein, David, Borwein, Jonathan M, Straub, Armin

“…We resolve and further study a sinc integral evaluation, first posed in this MONTHLY in [1967, p. 1015], which was solved in [1968, p. 914] and withdrawn in…”
Get full text

EFFECTIVE LAGUERRE ASYMPTOTICS by BORWEIN, DAVID, BORWEIN, JONATHAN M., CRANDALL, RICHARD E.

“…It is known that the generalized Laguerre polynomials can enjoy subexponential growth for large primary index. In particular, for certain fixed parameter pairs…”
Get full text

Surprising Sinc Sums and Integrals by Baillie, Robert, Borwein, David, Borwein, Jonathan M.

“…Baillie et al intend to show that a variety of trigonometric sums have unexpected closed forms by relating them to cognate integrals. They hope to offer a good…”
Get full text

Parametric Euler sum identities by Borwein, David, Borwein, Jonathan M., Bradley, David M.

“…We consider some parametrized classes of multiple sums first studied by Euler. Identities between meromorphic functions of one or more variables in many cases…”
Get full text

EFFECTIVE LAGUERRE ASYMPTOTICS by BORWEIN, David, BORWEIN, Jonathan M, CRANDALL, Richard E

Get full text

The evaluation of Bessel functions via exp-arc integrals by Borwein, David, Borwein, Jonathan M., Chan, O-Yeat

“…A standard method for computing values of Bessel functions has been to use the well-known ascending series for small argument, and to use an asymptotic series…”
Get full text

Convex and Concave Functions: 11009 by Borwein, David, Grivaux, Julien

Get full text

A Trig-Of-Trig Inequality: 11309 by Wituła, Roman, Słta, Damian, Darbinyan, Arman, Borwein, David

Get full text

On an Intriguing Integral and Some Series Related to ζ(4) by Borwein, David, Borwein, Jonathan M.

“…An intriguing log-cosine integral is fully analyzed and shown to have value a rational multiple of πζ(4), ζ being the Riemann zeta function. From this we…”
Get full text

A one-sided Tauberian theorem for the Borel summability method by Borwein, David, Kratz, Werner

“…We establish a quantitative version of Vijayaraghavan's classical result and use it to give a short proof of the known theorem that a real sequence ( s n )…”
Get full text