A q-analogue of the 9-j symbols and their orthogonality
暂无分享,去创建一个
[1] A. Zhedanov. 9 j-symbols of the oscillator algebra and Krawtchouk polynomials in two variables , 1997 .
[2] Mizan Rahman,et al. Basic Hypergeometric Series , 1990 .
[3] H. Rosengren. Multivariable q-Hahn polynomials as coupling coefficients for quantum algebra representations , 2001 .
[4] Rene F. Swarttouw,et al. The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue Report Fac , 1996, math/9602214.
[5] Multivariable q-Racah polynomials , 1996, q-alg/9607003.
[6] F. Whipple. Well-Poised Series and Other Generalized Hypergeometrtc Series , 1926 .
[7] A. R. Edmonds. Angular Momentum in Quantum Mechanics , 1957 .
[8] A whipple's transformation for hypergeometric series in U(n) and multivariable hypergeometric orthogonal polynomials , 1987 .
[9] Mizan Rahman,et al. Some systems of multivariable orthogonal q-Racah polynomials , 2004, math/0410250.
[10] On the triple sum formula for Wigner 9j-symbols , 1998 .
[11] E. M. Lifshitz,et al. Quantum mechanics: Non-relativistic theory, , 1959 .
[12] W. N. Bailey,et al. Generalized hypergeometric series , 1935 .
[13] Yuan Xu,et al. Orthogonal Polynomials of Several Variables , 2014, 1701.02709.
[14] J. McGregor,et al. Linear Growth Models with Many Types and Multidimensional Hahn Polynomials , 1975 .
[15] I. Area,et al. Orthogonal polynomials of two discrete variables on the simplex , 2005 .
[16] S. Meshkov,et al. Theory of Complex Spectra , 1953 .
[17] Mourad E. H. Ismail,et al. Theory and Applications of Special Functions , 2005 .
[18] Richard Askey,et al. A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or 6 - j Symbols. , 1979 .
[19] Yuan Xu. On discrete orthogonal polynomials of several variables , 2004, Adv. Appl. Math..
[20] James A. Wilson. Some Hypergeometric Orthogonal Polynomials , 1980 .
[21] Mourad E. H. Ismail,et al. Classical and Quantum Orthogonal Polynomials in One Variable , 2005 .
[22] Mizan Rahman,et al. A Probablistic Origin for a New Class of Bivariate Polynomials , 2008, 0812.3879.
[23] M. V. Tratnik,et al. Some multivariable orthogonal polynomials of the Askey tableau‐discrete families , 1991 .
[24] Another proof of the triple sum formula for Wigner 9j-symbols , 1999 .
[25] R. Askey,et al. Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials , 1985 .
[26] J. V. Jeugt,et al. Convolutions for orthogonal polynomials from Lie and quantum algebra representations. , 1996, q-alg/9607010.
[27] G. Racah,et al. Theory of Complex Spectra. IV , 1942 .
[28] T. Koornwinder. Two-Variable Analogues of the Classical Orthogonal Polynomials , 1975 .
[29] Mizan Rahman,et al. Cumulative Bernoulli trials and Krawtchouk processes , 1984 .
[30] F. J. W. Whipple,et al. On Well-Poised Series, Generalized Hypergeometric Series having Parameters in Pairs, each Pair with the Same Sum , 1926 .