This is a note for the article Critical points of master functions and flag varieties. Most of the properties below are from the appendix of this article. Some are not written in the paper but used there. I did not write the well-known relations between differential equations and Wronskians, such as Abel’s identity.
Here we assume all functions in this page are functions of with sufficiently many derivatives.
Define the Wronskian of functions by We follow the convention that for the corresponding Wronskian is equal to . We also write for in order to stress the order of the Wronskian.