Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 2, pp. 186-200
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A. N. Vasil'ev; A. K. Kazanskii; Yu. M. Pis'mak. Equations for higher Legendre transforms in terms of 1-irreducible vertices. Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 2, pp. 186-200. http://geodesic.mathdoc.fr/item/TMF_1974_19_2_a4/
@article{TMF_1974_19_2_a4,
author = {A. N. Vasil'ev and A. K. Kazanskii and Yu. M. Pis'mak},
title = {Equations for higher {Legendre} transforms in terms of 1-irreducible vertices},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {186--200},
year = {1974},
volume = {19},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1974_19_2_a4/}
}
TY - JOUR
AU - A. N. Vasil'ev
AU - A. K. Kazanskii
AU - Yu. M. Pis'mak
TI - Equations for higher Legendre transforms in terms of 1-irreducible vertices
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1974
SP - 186
EP - 200
VL - 19
IS - 2
UR - http://geodesic.mathdoc.fr/item/TMF_1974_19_2_a4/
LA - ru
ID - TMF_1974_19_2_a4
ER -
%0 Journal Article
%A A. N. Vasil'ev
%A A. K. Kazanskii
%A Yu. M. Pis'mak
%T Equations for higher Legendre transforms in terms of 1-irreducible vertices
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1974
%P 186-200
%V 19
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1974_19_2_a4/
%G ru
%F TMF_1974_19_2_a4
For the functional Legendre transforms [2, 3] of arbitrary order equations are obtained in which 1-irreducible (and not simply connected) vertices are regarded as independent variables; their iterative solution is represented by skeleton graphs with 1-irreducible $n$-leg diagrams at their vertices. In this manner any $n$-leg vertex can be represented as the sum of a “bare” vertex and skeleton graphs of this type.
