Representation of the Gauss-Babenko operator in the power series basis
Abstract:
Formal properties of the Gauss operator are considered. We give statement of the Gauss problem. An integral form of this operator (discovered before by K.I. Babenko) is derived. The representation of this operator in the power series basis is obtained.
Keywords:
Gauss-Kuzmin statistics, continued fractions
Publication language:russian, pages:23
Research direction:
Mathematical problems and theory of numerical methods
