Multi-dimensional Chebyshev polynomials?

  • Thread starter Wallace
  • Start date

Wallace

Science Advisor
1,249
0
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?
 

Want to reply to this thread?

"Multi-dimensional Chebyshev polynomials?" You must log in or register to reply here.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Hot Threads

Top