Bilateral generating functions are those involving products of different types of polynomials. We show that operational methods offer a powerful tool to derive these families of generating functions. We study cases relevant to products of Hermite polynomials with Laguerre, Legendre and other polynomials. We also propose further extensions of the method which we develop here. © 2002 Elsevier Science (USA). All rights reserved.
All Science Journal Classification (ASJC) codes
- Applied Mathematics