@GuruYerram 

I understand that for (alpha>0) , the limit as x,y approach 0 exists and is equal to 0

while for alpha less than 0, it does not(at least in real space)

I essentially need to "study the continuity and differentiability of the function at (0,0) for different values of alpha

@Carl Love 

Thanks a lot carl!

Here's the pdf of the book;

http://mkhebcha.math.science.cmu.ac.th/206455/Kincaid_Cheney_Numerical_Mathematics_and_Computing__Sixth_Edition.pdf

on page 145, Q 11, you'll find the formula for the iterator and also the algorithm for the Muller method that I've asked as a separate question

@Carl Love 

I've figured that out; I've changed R[k]:=r to R[-k]=r in order to store the elements in the reverse(right order). While this works when obtaining the ternary form of an individual number, 

when I invoke this procedure as 

finalList:=[seq(base3(n),n=1..81);

the elements aren't being reversed. Is there something else I should change in my function?

@Carl Love 

Thanks a lot Carl! I'll definitely remember this the next time I need to work with lists :)

Now that I have the corresponding ternary digits split by commas in the list, if I were to join the elements together, could I use a function such as join?

@acer wasn't sure if I was allowed sorry..

bval;