Published November 1983 | Version v1
Journal article

T coefficients of the tree-graph method as orthogonal polynomials of a discrete variable

Creators

  • 1. Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Moscow. Inst. Atomnoj Ehnergii

Description

It is shown that the T coefficients of the tree-graph method can be expressed in terms of the Racah, Hahn, and Krawtchouk polynomials, which are classical orthogonal polynomials of discrete variables. Because of this fact, the T coefficients are finite-difference analogues of the corresponding continuous factors in solution of the Laplace equation

Additional details

Additional titles

Original title (Russian)
Т-коэффициенты метода деревьев, как ортогональные полиномы дискретной переменной

Publishing Information

Journal Title
Yad. Fiz.
Journal Volume
38
Journal Issue
11
Series
Yad. Fiz.
Journal Page Range
1367-1375
ISSN
0044-0027

INIS

Country of Publication
Russian Federation
Country of Input or Organization
USSR
INIS RN
15039555
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
HYPERGEOMETRIC FUNCTIONS; LAPLACE EQUATION; POLYNOMIALS; RACAH COEFFICIENTS; SU GROUPS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; LIE GROUPS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY GROUPS

Optional Information

Notes
For English translation see the journal Soviet Journal of Nuclear Physics (USA).