On the Donfagsiteli Conditional Function and Some Applications in Pure and Applied Sciences

The Donfagsiteli conditional function ([Cdk]f ) is a set of classes and families of mathematical
functions which have been recently defned. [Cdk]f is related to a predefned function f in a way
similar to that of a bijective function and its inverse . It is a generalization of both elementary and
special functions. The function has many applications in pure and applied sciences, when makes it
possible, to solve explicitly several models where as this is not possible with elementary and some
special functions such as Lambert W functions. In this book chapter, defnition and properties of
Donfagsiteli conditional function, have been revisited with their extension to the conditional complex
plan. Some transcendental equations and novel models were treated to solve certain problems in
biology such as enzymatic kinetics and marginal value theorem. [Cdk]f is a tool to provide deeper
insight and a new point of view when describing natural phenomena.