selected publications academic article Fulling, S. A., & Gustafson, R. A. (1999). Some properties of Riesz means and spectral expansions. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. 1999, 1-39. Gustafson, R. A., & Krattenthaler, C. (1996). Heine transformations for a new kind of basic hypergeometric series in U(n). Journal of Computational and Applied Mathematics. 68(1-2), 151-158. Gustafson, R. A. (1994). Some q-Beta Integrals on $SU(n)$ and $Sp(n)$ That Generalize the AskeyWilson and NasrallahRahman Integrals. SIAM Journal on Mathematical Analysis. 25(2), 441-449. Gustafson, R. A. (1994). Some $q$-beta and Mellin-Barnes integrals on compact Lie groups and Lie algebras. Transactions of the American Mathematical Society. 341(1), 69-119. Denis, R. Y., & Gustafson, R. A. (1992). An $SU(n)$q-Beta Integral Transformation and Multiple Hypergeometric Series Identities. SIAM Journal on Mathematical Analysis. 23(2), 552-561. Gustafson, R. A. (1992). Some q-Beta and MellinBarnes Integrals with Many Parameters Associated to the Classical Groups. SIAM Journal on Mathematical Analysis. 23(2), 525-551. Gustafson, R. A. (1990). A Summation Theorem for Hypergeometric Series Very-Well-Poised on $G_2 $. SIAM Journal on Mathematical Analysis. 21(2), 510-522. Gustafson, R. A. (1990). A generalization of Selbergs beta integral. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. 22(1), 97-105. Gustafson, R. A. (1987). Multilateral Summation Theorems for Ordinary and Basic Hypergeometric Series in $U(n)$. SIAM Journal on Mathematical Analysis. 18(6), 1576-1596. Rao, K. S., Santhanam, T. S., & Gustafson, R. A. (1987). Racah polynomials and a three-term recurrence relation for the Racah coefficients. Journal of Physics A: Mathematical and General. 20(10), 3041-3045. Gustafson, R. A. (1987). A Whipples Transformation for Hypergeometric Series in $U(n)$ and Multivariable Hypergeometric Orthogonal Polynomials. SIAM Journal on Mathematical Analysis. 18(2), 495-530. Gustafson, R. A., & Milne, S. C. (1986). A q-analog of transposition symmetry for invariant G-functions. Journal of Mathematical Analysis and Applications. 114(1), 210-240. Gustafson, R. A., & Milne, S. C. (1985). A new symmetry for Biedenharn's G-functions and classical hypergeometric series. Advances in Mathematics. 57(3), 209-225. Biedenharn, L. C., Gustafson, R. A., & Milne, S. C. (1985). U(n) Wigner coefficients, the path sum formula, and invariant G-functions. Advances in Applied Mathematics. 6(3), 291-349. Biedenharn, L. C., Gustafson, R. A., & Milne, S. C. (1984). An umbral calculus for polynomials characterizing U(n) tensor operators. Advances in Mathematics. 51(1), 36-90. Gustafson, R. A., & Milne, S. C. (1983). Schur functions and the invariant polynomials characterizing U(n) tensor operators. Advances in Applied Mathematics. 4(4), 422-478. Gustafson, R. A., & Milne, S. C. (1983). Schur functions, Good's identity, and hypergeometric series well poised in SU(n). Advances in Mathematics. 48(2), 177-188. conference paper Coskun, H., & Gustafson, R. A. (2006). Well-poised Macdonald functions W-lambda and Jackson coefficients omega(lambda) on BCn. ADVANCES IN QUANTUM COMPUTATION. 127-155.
teaching activities MATH167 Explorations In Math Instructor MATH220 Foundations Of Math Instructor MATH304 Linear Algebra Instructor MATH311 Top In Applied Math I Instructor MATH366 Structure Of Math Ii Instructor MATH367 Basic Concepts Of Geom Instructor MATH433 Applied Algebra Instructor MATH467 Modern Geometry Instructor MATH685 Directed Studies Instructor
education and training Ph.D., Yale University - (New Haven, Connecticut, United States) 1979 A.B., Princeton University - (Princeton, New Jersey, United States) 1975