banner USF Home College of Arts & Sciences OASIS myUSF USF A-Z Index

USF Home > College of Arts and Sciences > Department of Mathematics & Statistics

Mathematics & Statistics

Analysis
(Leader: Prof. Boris Shekhtman)

Friday, September 13, 2002

Title
Speaker
Time
Place

Some New Lower Bounds for Discrete Norms of Polynomials
Boris Shekhtman
4:00pm-5:00pm
PHY 109

Friday, September 20, 2002

Title
Speaker
Time
Place

\(q\)-Taylor Series for Entire Functions, Part I
Mourad Ismail
4:00pm-5:00pm
PHY 108

Abstract

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.

Friday, September 27, 2002

Title
Speaker
Time
Place

\(q\)-Taylor Series for Entire Functions, Part II
Mourad Ismail
4:00pm-5:00pm
PHY 108

Friday, October 18, 2002

Title
Speaker
Time
Place

Fractional Calculus
Mourad Ismail
4:00pm-5:00pm
PHY 108

Abstract

The topic illustrates how fractional integrals and derivatives arise in a natural way in analysis.

Friday, October 25, 2002

Title
Speaker
Time
Place

Integral and Inertial Manifolds for Skew Product Semiflows
Yuncheng You
4:00pm-5:00pm
PHY 108

Friday, November 1, 2002

Title
Speaker

Time
Place

Approximation in Complex Domain and Related Questions
Arthur A. Danielyan
University of Central Florida
4:00pm-5:00pm
PHY 108

Abstract

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.

Friday, November 8, 2002

Title
Speaker

Time
Place

Pattern Recognition in Extremal Problems via Computer
Bruce Chalmers
University of California
4:00pm-5:00pm
PHY 108