On irregular singular curves of Whittaker type systems

Abstract

The given work studies the regular and irregular singular curves of special systems of the second order partial differential equations. By the means of rank and antirank, the necessary and sufficient condition for an existence of regular solution, also the first and the second necessary condition for an existence of normal-regular solution were established. The types of solutions in the neighborhood of regular and irregular features were defined. The application of two variables special functions was considered.

Keywords

• special points
• differential equations
• frobenius–latysheva’s method