In the theory of Wiman-Valiron on entire function,a theorem on the derivatives of entire functions has important applications to differential equations. We had extended the theorem to the meromorphic functions which h...In the theory of Wiman-Valiron on entire function,a theorem on the derivatives of entire functions has important applications to differential equations. We had extended the theorem to the meromorphic functions which have finite poles. In this paper we give some applications to linner differential equations and algebraic differential equations.展开更多
Ⅰ. INTRODUCTION In this paper, we shall give some theorems of the Malmquist type on the meromorphic solutions and algebroid solutions of algebraic differential equations, and give an example to explain that the bound...Ⅰ. INTRODUCTION In this paper, we shall give some theorems of the Malmquist type on the meromorphic solutions and algebroid solutions of algebraic differential equations, and give an example to explain that the bound in our theorems can be reached.展开更多
文摘In the theory of Wiman-Valiron on entire function,a theorem on the derivatives of entire functions has important applications to differential equations. We had extended the theorem to the meromorphic functions which have finite poles. In this paper we give some applications to linner differential equations and algebraic differential equations.
文摘Ⅰ. INTRODUCTION In this paper, we shall give some theorems of the Malmquist type on the meromorphic solutions and algebroid solutions of algebraic differential equations, and give an example to explain that the bound in our theorems can be reached.
