On a method for solving the problem of heat transfer between two cylinders at arbitrary Knudsen numbers

A method is developed for calculating bracket integrals, containing discontinuous bilateral Maxwell functions of distribution. This method allows to obtain analytical solutions for various systems of moment equations at any Knudsen numbers. The article considers the problem of heat transfer between two coaxial cylinders. New special functions, giving the problem's solution, are introduced. A table of numerical values for these functions is given. An approximate analytical formula for calculating bracket integrals is also given.