1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Multi-dimensional Chebyshev polynomials?

  1. Mar 25, 2009 #1


    User Avatar
    Science Advisor

    I was hoping someone could point me in the direction of a suitable extension of Chebyshev polynomials to mutple dimensions?

    I find Chebyshev polynomials useful in situations when I need to fit some function in a general way, imposing as little pre-concieved ideas about the form as possible but still allowing an analytic form of the fitted function. This can be acheived by numerically searching for the values of co-efficients in front of Chebyshev polynomials of increasing order.

    However, I want to extend this to some unknown function of multiple dimensions. Does anyone know what the generating functions of Chebyshev polynomials in multiple dimensions are?
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted