In this article, we consider the problem of developing a unified point of view on the theory of multivariable and multi-index Hermite polynomials. We combine the principle of monomiality with the methods of operational nature and show that this approach provides a more flexible tool than a full Lie-algebraic treatment. We also provide several examples illustrating this unified point of view. © 2005 Taylor & Francis Ltd.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
Dattoli, G., Srivastava, H. M., & Khan, S. (2005). Operational versus Lie-algebraic methods and the theory of multi-variable Hermite polynomials. Integral Transforms and Special Functions, 16(1), 81 - 91. https://doi.org/10.1080/10652460412331270616