Bulletin of the American Mathematical Society

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Book Information:

Author: 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.

Antoni Wawrzyńczyk, Współczesna teoria funkcji specjalnych, Biblioteka Matematyczna [Mathematics Library], vol. 52, Państwowe Wydawnictwo Naukowe (PWN), Warsaw, 1978 (Polish). Wstęp do analizy harmonicznej na przestrzeniach jednorodnych. [Introduction to harmonic analysis in homogeneous spaces]; With a section on problems by Aleksander Strasburger. MR 509039

N. Ja. Vilenkin, Spetsial′nye funktsii i teoriya predstavleniĭ grupp, Izdat. “Nauka”, Moscow, 1965 (Russian). MR 0209523

James D. Talman, Special functions: A group theoretic approach, W. A. Benjamin, Inc., New York-Amsterdam, 1968. Based on lectures by Eugene P. Wigner; With an introduction by Eugene P. Wigner. MR 0239154

Sigurđur Helgason, Differential geometry and symmetric spaces, Pure and Applied Mathematics, Vol. XII, Academic Press, New York-London, 1962. MR 0145455

Sigurdur Helgason, Differential geometry, Lie groups, and symmetric spaces, Pure and Applied Mathematics, vol. 80, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 514561

Willard Miller Jr., Lie theory and special functions, Mathematics in Science and Engineering, Vol. 43, Academic Press, New York-London, 1968. MR 0264140

Teturo Inui, Unified theory of recurrence formulas. II, Progr. Theoret. Phys. 3 (1948), 244–261. MR 28484, DOI 10.1143/ptp/3.3.244

L. Infeld and T. E. Hull, The factorization method, Rev. Modern Physics 23 (1951), 21–68. MR 0043308, DOI 10.1103/revmodphys.23.21

Tom Koornwinder, The addition formula for Jacobi polynomials and spherical harmonics, SIAM J. Appl. Math. 25 (1973), 236–246. MR 346212, DOI 10.1137/0125027

Tom Koornwinder, Two-variable analogues of the classical orthogonal polynomials, Theory and application of special functions (Proc. Advanced Sem., Math. Res. Center, Univ. Wisconsin, Madison, Wis., 1975) Math. Res. Center, Univ. Wisconsin, Publ. No. 35, Academic Press, New York, 1975, pp. 435–495. MR 0402146

Tom H. Koornwinder, Jacobi functions and analysis on noncompact semisimple Lie groups, Special functions: group theoretical aspects and applications, Math. Appl., Reidel, Dordrecht, 1984, pp. 1–85. MR 774055

Richard Askey and James Wilson, A set of orthogonal polynomials that generalize the Racah coefficients or $6-j$ symbols, SIAM J. Math. Anal. 10 (1979), no. 5, 1008–1016. MR 541097, DOI 10.1137/0510092

Dennis Stanton, Orthogonal polynomials and Chevalley groups, Special functions: group theoretical aspects and applications, Math. Appl., Reidel, Dordrecht, 1984, pp. 87–128. MR 774056

Willard Miller Jr., Symmetry and separation of variables, Encyclopedia of Mathematics and its Applications, Vol. 4, Addison-Wesley Publishing Co., Reading, Mass.-London-Amsterdam, 1977. With a foreword by Richard Askey. MR 0460751

Sigurđur Helgason, Lie groups and symmetric spaces, Battelle Rencontres. 1967 Lectures in Mathematics and Physics, Benjamin, New York, 1968, pp. 1–71. MR 0236325

1.

Antoni Wawrzyńczyk, Wspólczesna teoria funkcji specjalnych, PWN, Warszawa, 1978. MR 0509039

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