Tuesday 30 October 2018

Complex Functions need L-Series, Like Real functions need T-Series - thanks PAL!

Any mathematical programmer needs nodding acquaintance with Laurent series.

So what is a "Laurent Series"?

These super-important series are a way of expressing a complex function as a power series when a Taylor series is not possible. They are interesting in that negative exponents are part and parcel of the series.

Pierre Alphonse Laurent ("PAL") was the discoverer of the Laurent series.

He was an engineer directing operations for the enlargement of the port of Le Havre. He applied deep theoretical knowledge to practical use.

His name is also given to the polynomial known as the Laurent polynomial (characterised by terms of negative degree).