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Title: Some New Lower Bounds for Discrete Norms of Polynomials Speaker: Boris Shekhtman Time: 4:00pm–5:00pm Place: PHY 108
Title: \(q\)-Taylor Series for Entire Functions, Part I Speaker: Mourad Ismail Time: 4:00pm–5:00pm Place: PHY 108
We develop expansions in special sequences of polynomials. We prove analogues of Cauchy's integral formulas. The technique used is a mixture of \(q\)-series and complex analysis. Open problems will be mentioned.
Title: \(q\)-Taylor Series for Entire Functions, Part II Speaker: Mourad Ismail Time: 4:00pm–5:00pm Place: PHY 108
Title: Fractional Calculus Speaker: Mourad Ismail Time: 4:00pm–5:00pm Place: PHY 109
The topic illustrates how fractional integrals and derivatives arise in a natural way in analysis.
Title: Integral and Inertial Manifolds for Skew Product Semiflows Speaker: Yuncheng You Time: 4:00pm–5:00pm Place: PHY 109
Title: Approximation in Complex Domain and Related Questions Speaker: Arthur A. Danielyan, University of Central Florida Time: 4:00pm–5:00pm Place: PHY 109
The talk is devoted to a series of problems in pointwise (bounded or not) approximation by polynomials and rational functions in the complex plane. We also present some open problems as well as a resent result in the theory of boundary behavior of analytic functions.
Title: Pattern Recognition in Extremal Problems via Computer Speaker: Bruce Chalmers, University of California Time: 4:00pm–5:00pm Place: PHY 109