Title of article
Hypergeometric series related to the 9-j coefficient of su(1,1)
Author/Authors
S. N. Pitre* and J. Van der Jeugt†، نويسنده , , J.Van، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2000
Pages
15
From page
337
To page
351
Abstract
We study various expressions for the 9-j coefficient of su(1,1), with an emphasis on multiple hypergeometric series. An orthogonal polynomial in two discrete variables is associated to the 9-j coefficient. Some applications are considered, dealing with formulas in which the 9-j coefficient appears as a connection or expansion coefficient, and discussing some transformation formulas for double- and triple-hypergeometric series of unit argument.
Keywords
Discrete orthogonal polynomial , Multiple hypergeometric series , Transformation formulas , Hypergeometric series , Kampé de Fériet functions , 9-j coefficient
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2000
Journal title
Journal of Computational and Applied Mathematics
Record number
1551080
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