Prolonged laguerre functions relative to the congruence (?) in a Weyl hypersurface

Abstract

Let \(W_n\) be a hypersurface of an \((n+1)\)-dimensional Weyl space \(W_{n+1}\) and let \((\lambda)\) be a congruence of curves in \(W_{n+1}\) such that one curve of the congruence passes through each point of \(W_n\). By means of the prolonged differentiation the authors introduce two suitable operators which permit to define the prolonged Laguerre function and the Laguerre function for a direction \(\vec e\) with respect to the congruence \((\lambda)\).