2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58181A formula is derived that provides generating functions for any multi-j-symbol, such as the 3-j-symbol, the 6-j-symbol, the 9-j-symbol, etc. The result is completely determined by geometrical objects (loops and curves) in the graph of the the multi-j-symbol. A geometric-combinatorical interpretation for multi-j-symbols is given.11 pages, 12 eps figuresMathematical PhysicsGenerating Functions for Multi-j-Symbolstext