327 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of MichiganUS15 papers
- University of Colorado BoulderUS6 papers
- University of KansasUS6 papers
- Carnegie Mellon UniversityUS5 papers
- Brown UniversityUS4 papers
- California Institute of TechnologyUS4 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Colby CollegeUS4 papers
- Joint Institute for Laboratory AstrophysicsUS4 papers
- The Ohio State UniversityUS4 papers
- University of Illinois Urbana-ChampaignUS4 papers
- University of Massachusetts AmherstUS4 papers
7 papers · 1 filter
An infinite series for the natural logarithm that converges throughout its domain and makes concavity transparent
David M. Bradley
The natural logarithm can be represented by an infinite series that converges for all positive real values of the variable, and which makes concavity patently obvious. Concavity of…
Identities for sin(x) that came from medical imaging
Peter Kuchment, Sergey Lvin
The article describes interesting nonlinear differential identities satisfied by standard exponential and trigonometric functions, which appeared as byproducts of medical imaging r…
A class of series acceleration formulae for Catalan's constant
David M. Bradley
In this note, we develop transformation formulae and expansions for the log tangent integral, which are then used to derive series acceleration formulae for certain values of Diric…
Parametric Euler Sum Identities
David Borwein, Jonathan M. Borwein, David M. Bradley
We consider some parametrized classes of multiple sums first studied by Euler. Identities between meromorphic functions of one or more variables generate reduction formulae for the…
A Pair of Difference Differential Equations of Euler-Cauchy Type
David M. Bradley
We study two classes of linear difference differential equations analogous to Euler-Cauchy ordinary differential equations, but in which multiple arguments are shifted forward or b…
Multiple Polylogarithms: A Brief Survey
Douglas Bowman, David M. Bradley
We survey various results and conjectures concerning multiple polylogarithms and the multiple zeta function. Among the results, we announce our resolution of several conjectures on…
Resolution of Some Open Problems Concerning Multiple Zeta Evaluations of Arbitrary Depth
Douglas Bowman, David M. Bradley
We prove some new evaluations for multiple polylogarithms of arbitrary depth. The simplest of our results is a multiple zeta evaluation one order of complexity beyond the well-know…