Students and teachers of mathematical specialties

Operator $Af = f\circ\varphi-f$ in tasks of mathematical competitions

E. I. Znak

Mikhailovskaya Artillery Military Academy, Saint Petersburg

Abstract: The article proposes a certain operator point of view on some plots and constructions typical for Olympiad problems. It is shown that the usual classical Olympiad problems (for example, such as calculating some infinite products, finding certain sums of series or solutions to some functional equations) are particular manifestations of the general concept under consideration.

UDC: 517.51