ABSTRACT
Functional equations, like log(xy) = log x +log y fail to hold when we extend the domain to the complex plane. The so-called unwinding number helps to correct such identities such that their corrected versions hold over the whole plane or over most of it. This chapter studies this problem and its solution via the K unwinding number in detail.
One section of this chapter is devoted to the complex domain “corrections” of functional equations of the Lambert function which were studied over the real set in the first chapter.
The Wright ω function, a lesser known variant of W, is also studied in this chapter together with the branch difference function M.
