A Cauchy kernel for slice regular functions

Details A Cauchy kernel for slice regular functions A Cauchy kernel for slice regular functions

2009-02-27

arxiv.org/abs/0902.4771v1

Ann. Global Anal. Geom. 37 (2010), 361-378

Mathematics

Complex Variables

Scientific paper

In this paper we show how to construct a regular, non commutative Cauchy
kernel for slice regular quaternionic functions. We prove an (algebraic)
representation formula for such functions, which leads to a new Cauchy formula.
We find the expression of the derivatives of a regular function in terms of the
powers of the Cauchy kernel, and we present several other consequent results.

Affiliated with

Also associated with

No associations

Rating

A Cauchy kernel for slice regular functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Cauchy kernel for slice regular functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Cauchy kernel for slice regular functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-571956