Transactions of the American Mathematical Society, Vol. 355, No. 12 (Dec., 2003), pp. 4985-5002 (18 pages) We study two classes of linear difference differential equations analogous to Euler-Cauchy ...

Euler’s identity is an equality found in mathematics that has been compared to a Shakespearean sonnet and described as "the most beautiful equation." It is a special case of a foundational equation in ...

In this paper we give a necessary and sufficient condition for the oscillation of the first-order neutral differential equations of Euler form with variable unbounded delays $\tfrac{d} {{dt}}\left( {x ...

What is it that makes Euler's identity, e]iPi + 1 = 0, so special? In Euler's Pioneering Equation Robin Wilson shows how this simple, elegant, and profound formula links together perhaps the five most ...

At some point every year I find myself standing at the supermarket check out line perusing People Magazine's Most Beautiful People issue. Every year my reaction is the same, something like "Justin ...

“Gentlemen, that is surely true, it is absolutely paradoxical; we cannot understand it, and we don’t know what it means. But we have proved it, and therefore we know it must be the truth.” —Benjamin ...

A recent entry in the visitor’s book of the James Joyce Tower & Museum in Sandycove, Dublin, perplexed the Friends of Joyce’s Tower, the volunteers who run the museum. The entry, reproduced as the ...