On means, polynomials and special functions

Johan Gielis, Rik Verhulst, Diego Caratelli, Paolo E. Ricci, Ilia Tavkhelidze

We discuss how derivatives can be considered as a game of cubes and beams, and of geometric means. The same principles underlie wide classes of polynomials. This results in an unconventional view on the history of the differentiation and differentials.