This volume provides comprehensive coverage of new developments in hypercomplex analysis and Clifford analysis. Contributions are based on talks given at the 9th European Congress of Mathematics minisymposium "Generalizations of Complex Analysis and Applications," held in Spain in July 2024. Specific topics covered include:Hypercomplex integral transformationsSpinors, Lie algebras, Clifford (geometric) algebras and group theoryGeneralizations of the standard model of particle physicsFunction theoretical aspects and technological applications