AMS Meeting Program by Special Session

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1994 Minneapolis Mathfest
Minneapolis, MN, August 15-18, 1994
Meeting #894

Associate secretaries:
Lesley M Sibner, AMS
Kenneth A Ross, MAA

AMS Special Session on q-Series

  • Monday August 15, 1994, 1:30 p.m.-4:40 p.m.
    AMS Special Session on q-Series, I

    • 1:30 p.m.
      Some values for the Rogers-Ramanujan continued fraction.
      Bruce C. Berndt*, University of Illinois, Urbana-Champaign
      Heng Huat Chan, University of Illinois, Urbana-Champaign
    • 2:10 p.m.
      On Ramanujan's cubic continued fraction.
      Heng Huat Chan*, University of Illinois, Urbana-Champaign
    • 2:50 p.m.
      Transformations between products and continued fractions.
      Douglas Bowman*, University of Illinois, Urbana-Champaign
    • 3:30 p.m.
      Some new observations on the Gollnitz-Gordon and Rogers-Ramanujan identities.
      Krishnaswami Alladi*, University of Florida
    • 4:10 p.m.
      Irrationality and orthogonality.
      Peter Borwein*, Simon Fraser University
  • Tuesday August 16, 1994, 1:00 p.m.-4:10 p.m.
    AMS Special Session on q-Series, II

    • 1:00 p.m.
      Nonnegativity results for generalized q-binomial coefficients.
      Susanna D. Fishel*, Southern Connecticut State University
    • 1:40 p.m.
      A nonnegative expansion for Hall polynomials
      Lynne M. Butler*, Haverford College
      F. Miller Maley, Princeton University
    • 2:20 p.m.
      Applications of q-differential calculus to combinatorics.
      Warren P. Johnson*, Pennsylvania State University, University Park
    • 3:00 p.m.
      More cranks and t-cores.
      Frank Garvan*, University of Florida
    • 3:40 p.m.
      Parity of the partition function in arithmetic progressions.
      Ken Ono*, University of Georgia
  • Wednesday August 17, 1994, 1:40 p.m.-4:50 p.m.
    AMS Special Session on q-Series, III

    • 1:40 p.m.
      A constant term identity and a conjecture of Peter Forrester.
      Shaun Cooper*, University of Wisconsin, Madison
    • 2:20 p.m.
      The Askey-Wilson polynomials and q-Sturm-Liouville problems.
      B. Malcolm Brown, University of Wales at Cardiff, Wales
      W. Desmond Evans, University of Wales at Cardiff, Wales
      Mourad E. H. Ismail*, University of South Florida
    • 3:00 p.m.
      Pearson equation and the q-beta integrals on the q-quadratic lattice.
      Mizanur Rahman*, Carleton University
      Sergei K. Suslov, Russian Research Centre, Russia
    • 3:40 p.m.
      $U(n+1)$ extensions of Rogers' form of the Bailey transform.
      Stephen C. Milne*, Ohio State University, Columbus
    • 4:20 p.m.
      q-algebra representations of the euclidean, pseudo-euclidean and oscillator algebras, and their tensor products.
      Willard Miller, Jr.*, University of Minnesota, Minneapolis
      E. G. Kalnins, University of Waikato, New Zealand

American Mathematical Society