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In this paper, we give an integral formula for the eigenfunctions of the ring of differential operators related to the root system ${{B}_{2}}$.
[1]Beerends, R. J., Some special values for the BC type hypergeometric function. Contemp.Math. 138 (1992), 138–1992.Google Scholar
[2]
[2]Heckman, G. J., Root systems and hypergeometric functions II. Compositio Math. 64 (1987), 64–1987.Google Scholar
[3]
[3]Heckman, G. J. and Opdam, E. M., Root systems and hypergeometric functions I. Compositio Math. 64 (1987), 64–1987.Google Scholar
[4]
[4]Helgason, Sigurdur, Group and Geometric Analysis.Academic Press, New York, 1984.Google Scholar
[5]
[5]Macdonald, I. G., Symmetric functions and Hall polynomials. 2nd Edition, Clarendon Press, Oxford, 1995.Google Scholar
[6]
[6]Ol'shanetskii, M. A. and Perelomov, A. M., Quantum systems that are connected to root systems, and radial parts. (Russian) Funktsional. Anal. i Prilozhen. (2) 12 (1978), 12–1978, 96.Google Scholar
[7]
[7]Opdam, E. M., Root systems and hypergeometric functions III. Compositio Math. 67 (1988), 67–1988.Google Scholar
[8]
[8]Opdam, E. M., Root systems and hypergeometric functions IV. Compositio Math. 67 (1988), 67–1988.Google Scholar
[9]
[9]Rudin, Walter, Real and Complex Analysis. McGraw Hill Series in Higher Mathematics, 2nd edition, 1974.Google Scholar
[11]Sawyer, P., The eigenfunctions of a Schrödinger operator associated to the root system An−1. Quart. J. Math. Oxford Ser. 2 50 (1999), 50–1999.Google Scholar
[13]Sekiguchi, Jiro, An Euler type integral formula for zonal spherical functions on SO(m, 2)= SO(m) × SO(2). Bull. Univ. Electro-Comm. (1) 4 (1991), 4–1991.Google Scholar
[14]
[14]Smith, Kennan T., Primer of modern analysis.Bogden and Quigley, Inc., 1971.Google Scholar