taylor expansion for multiple variables with orders

Hi All If I have a function f(x,y). I want to taylor expasion it at [x0,y0] with x order up to N and Y order up to M and combined order up to K. How to do it? taylor(f,[x,y],[x0,y0],[N,M], absolutOrder=K)?

[JSC]

Do you have the symbolic math toolbox?

Answer 1

[JSC]

I think you can use

mtaylor(f,[x=x0,y=y0],absolutOrder=K,[weight_x,weight_y])

where the vector [weight_x,weight_y] sets the order of x to K/weight_x and the order of y to K/weight_y. So you could try weight_x = K/N and weight_y = K/M. But the weights must be positive integers, so not every value for N and M is possible.