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Book Review
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Book Information
Author(s):
Antoni Wawrzyńczyk
Title:
Group representations and special functions
Additional book information:
Mathematics and its Applications, D. Reidel Publishing Co., Dordrecht/Boston/Lancaster, 1984, xvi + 687 pp., $119.00 US; Dfl. 320,--. ISBN 90-277-1269-7
References:
- 1.
- Antoni Wawrzyńczyk, Wspólczesna teoria funkcji specjalnych, PWN, Warszawa, 1978. MR 509039
- 2.
- N. J. Vilenkin, Spetsiyalnye funktsii i teoriya predstavlenii grupp, Izdat. "Nauka", Moskva, 1965, English transl. in Special functions and the theory of group representations, Monographs, vol. 22, Amer. Math. Soc., Providence, R. I., 1968. MR 209523
- 3.
- J. Talman, Special functions: a group theoretic approach, Benjamin, New York, 1968. MR 239154
- 4.
- S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962. MR 145455
- 5.
- S. Helgason, Differential geometry, Lie groups and symmetric spaces, Academic Press, New York, 1978. MR 514561
- 6.
- W. Miller, Lie theory and special functions, Academic Press, New York, 1968. MR 264140
- 7.
- T. Inoui, Unified theory of recurrence formulas, Progr. Theoret. Phys. 3 (1948), 169-187, 244-261. MR 28484
- 8.
- L. Infeld and T. Hull, The factorization method, Rev. Modern Phys. 23 (1951), 21-68. MR 43308
- 9.
- T. Koornwinder, The addition formula for Jacobi polynomials and spherical harmonics, SIAM J. Appl. Math. 25 (1973), 236-246. MR 346212
- 10.
- T. Koornwinder, Two variable analogues of the classical orthogonal polynomials, Theory and Application of Special Functions (R. Askey, ed.), Academic Press, New York, 1975, pp. 435-495. MR 402146
- 11.
- T. Koornwinder, Jacobi functions and analysis on noncompact semi-simple Lie groups, Special Functions: Group Theoretical Aspects and Applications (R. Askey, T. Koornwinder and W. Shempp, eds.), Reidel, Dordrecht, Holland, 1984, pp. 1-86. MR 774055
- 12.
- R. Askey and J. Wilson, A set of orthogonal polynomials that generalize the Racah coefficients or 6 -j symbols, SIAM J. Math. Anal. 10 (1979), 1008-1016. MR 541097
- 13.
- D. Stanton, Orthogonal polynomials and Chevalley groups, Special Functions: Group Theoretical Aspects and Applications (R. Askey, T. Koornwinder and W. Shempp, eds.), Reidel, Dordrecht, Holland, 1984, pp. 87-128. MR 774056
- 14.
- W. Miller, Symmetry and separation of variables, Addison-Wesley, Reading, Mass., 1977. MR 460751
- 15.
- S. Helgason, Lie groups and symmetric spaces, Battele Rencontres (C. M. DeWitt and J. A. Wheeler, eds.), Benjamin, New York, 1968. MR 236325
Additional Information:
Reviewer(s):
Willard
Miller
Jr.
Review Information:
Journal:
Bull. Amer. Math. Soc.
13
(1985),
70-73.
DOI:
10.1090/S0273-0979-1985-15371-6
PII:
S 0273-0979(1985)15371-6
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