Changing basis and polynomials ...Phase 1

The project requires advanced mathematics. You could derive symbolically equations using symbolic software such as Mupad (preferable) or Mathematica or Maple. Phase 1 steps: Phase 1 1) Use my equations in "[login to view URL]" to replace the equations in " Predicting the crack opening displacements of .. .pdf" with double sided Fourier complex exponential and Bessel 1st. Then, derive a new replacement equations for equations 27 to 30 and for 35 to 39. You should have much more simple equations using Fourier complex exponential 3) Create a Matlab code and verify your results versus current " Predicting the crack opening displacements of .. .pdf" This is a seed and screening project. There are other projects related to this one. I am looking for a committed, dedicated, reliable, responsible freelancer with strong background in Mathematics, singular integral equations, numerical analysis... Matlab knowledge. The freelancer will work as a consultant to even decide best solutions and sets his/her future tasks and/or projects