Date & Time: Monday, August 25, 2014, 09:30-10:30.
Venue: Ramanujan Hall
Title: Irreducibility of Generalised Hermite polynomials
Speaker: Saranya Nair, IIT Bombay
Abstract: Hermite polynomials are classical orthogonal polynomial sequence that arise in probability, combinatorics, numerical analysis and physics. They are named after Charles Hermite (1864) although they were studied earlier by Laplace (1810) and Chebyshev (1859). Schur (1929) studied the algebraic properties of Hermite polynomials by proving that H_{2n}(x) and H_{2n+1}(x)/x are irreducible. We consider much more generalised Hermite polynomials and their irreducibility results.