A connection between Abel and pFq hypergeometric differential equations

Details A connection between Abel and pFq hypergeometric differential equations A connection between Abel and pFq hypergeometric differential equations

2004-02-16

arxiv.org/abs/math-ph/0402040v3

Physics

Mathematical Physics

9 pages, related to math.GM/0002059, submitted for publication in the European Journal of Applied Mathematics, see also http

Scientific paper

In a recent paper, a new 3-parameter class of Abel type equations, so-called AIR, all of whose members can be mapped into Riccati equations, is shown. Most of the Abel equations with solution presented in the literature belong to the AIR class. Three canonical forms were shown to generate this class, according to the roots of a cubic. In this paper, a connection between those canonical forms and the differential equations for the hypergeometric functions 2F1, 1F1 and 0F1 is unveiled. This connection provides a closed form pFq solution for all Abel equations of the AIR class.

Affiliated with

Also associated with

No associations

Rating

A connection between Abel and pFq hypergeometric differential equations 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 connection between Abel and pFq hypergeometric differential equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A connection between Abel and pFq hypergeometric differential equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-680732