Contributions to the theory of functions of a bicomplex variable

Now let Qa, 0) be a, and (0,1) be i. Then P = (0,1) (0,1) = (-1,0) = -1 a,b) = U,0) + CO, 6) = (^,0) + a) (0,1) = a+bu Thus the set of all real couples, with the above definitions, becomes the field of all complex numbers. The theory of complex-valued analytic functions of a complex variable has been extensively developed.