Seminarium KMMF "Teoria Dwoistości"

During the presentation, I will discuss a new approach to hypergeometricclass equations. Instead of analyzing each equation separately, we canexamine the general concept of Miller's Lie algebra and construct afamily of differential operators. By studying the algebraic propertiesof these operators, we can derive properties for the entire family ofequations.This approach provides a unified framework for understanding andderiving the properties of hypergeometric class equations. In the secondpart of the presentation, I will present some examples that illustratethis approach.The presentation is based on an unpublished paper by Professor JanDereziński.