Geodesic
Many-loop calculations: The uniqueness method and functional equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 1, pp. 127-135

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In the framework of the calculation of many-loop Feynman integrals – the uniqueness method – functional equations are obtained for the coefficient functions of the diagrams. Solution of a functional equation leads to calculation of an $N$-shaped diagram, the last of the 5-loop diagrams of the $\varphi^4$ theory. The obtained result makes it possible to extend by an order the tables constructed previously for the calculation of many-loop integrals. 
@article{TMF_1985_62_1_a9,
     author = {D. I. Kazakov},
     title = {Many-loop calculations: {The} uniqueness method and functional equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {127--135},
     publisher = {mathdoc},
     volume = {62},
     number = {1},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a9/}
}
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D. I. Kazakov. Many-loop calculations: The uniqueness method and functional equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 1, pp. 127-135. http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a9/