Symbolic Computation, Number Theory, Special Functions, Physics and CombinatoricsFrank G. Garvan, Mourad E.H. Ismail These are the proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, 1999. The main emphasis of the conference was Com puter Algebra (i. e. symbolic computation) and how it related to the fields of Number Theory, Special Functions, Physics and Combinatorics. A subject that is common to all of these fields is q-series. We brought together those who do symbolic computation with q-series and those who need q-series in cluding workers in Physics and Combinatorics. The goal of the conference was to inform mathematicians and physicists who use q-series of the latest developments in the field of q-series and especially how symbolic computa tion has aided these developments. Over 60 people were invited to participate in the conference. We ended up having 45 participants at the conference, including six one hour plenary speakers and 28 half hour speakers. There were talks in all the areas we were hoping for. There were three software demonstrations. |
Contents
III | 1 |
IV | 13 |
V | 33 |
VI | 59 |
VII | 73 |
VIII | 79 |
IX | 107 |
X | 133 |
XII | 171 |
XIII | 189 |
XIV | 199 |
XV | 223 |
XVI | 231 |
XVII | 243 |
XVIII | 255 |
XIX | 267 |
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Common terms and phrases
2001 Kluwer Academic 8n+s asymptotic Borwein coefficients Combinatorics conjecture cosq cusp form defined denote Department of Mathematics Eisenstein series elliptic function Engel Engel[A0Series evaluation extra-exponent ExtraExponent->1 F.G. Garvan finite fn,k formula Garvan and M.E.H. Gaussian Göllnitz Göllnitz's hand side Hankel determinant Hermite polynomials hypergeometric series integer partitions Jacobi K.A. Muttalib Ken Ono Lambert series Lemma M.E.H. Ismail eds Math mod p² modular forms nonnegative integer Number Theory obtain odd prime orthogonal polynomials parameter Physics and Combinatorics proof of Theorem prove q-analogue q-EE q-Engel Expansion q-generalization q-Hermite q-polynomials q-series qfac Ramanujan random matrix recurrence resulting equation Rogers-Ramanujan identities Section sequence shfac sinq Special Functions summation Symbolic Computation theta function University weight function Zeilberger ΣΣ П²