**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.