Can true function arise from basic dysfunction?
This partly explains why the classical hypergeometric function arises in many settings that seem to have nothing to do with each other.
According to this theory, the humor has a pure biological origin, while its social functions arose later.
The research on the question called How would a new function arise in proteins?
The exponential function arises because the probabilities for each draw are all multiplied together.
Many interesting special functions arise as solutions of linear second order ordinary differential equations.
Hypertranscendental functions usually arise as the solutions to functional equations, for example the Gamma function.
Multivalued functions often arise from functions which are not injective.
This would provide a more complete picture of how biological function arises from the information encoded in an organism's genome.
The Press-Schechter formalism provided the first quantitative model for how such functions might arise.