Advanced Search

Question: Integral Representation for Mathieu Functions (?)

Question:Integral Representation for Mathieu Functions (?)

john terrance 4
special-function mathieu
August 31 2007
0
Hi all, I am posing a question that has plagued me since I studied these in a Dynamical Systems course a couple of years ago... Is it possible to get an integral representation for the (angular) Mathieu Functions (AMF's) - via generating functions or any method? Consulting Ambrowitz and Stegun, and searching through recent papers the closest I came to finding such a result was one that (paradoxically) gave the integral representation of the AMF's in terms of itself (it appeared in the integral kernel). So I was wondering if anyone could do any better or clarify this. John
Please Wait...