A new type of conserved quantity induced by Mei symmetry of Appell equation

Abstract

A New type of conserved quantity induced by Mei symmetry of Appell equations for a holonomic system is studied. The definition and the criterion of Mei symmetry of Appell equations for a holonomic system are given. A new type of conserved quantity induced by Mei symmetry of Appell equations expressed by Appell functions is obtained. And an example is given to illustrate the application of the results.