Lie-type operational approach to modified 2D-Laguerre polynomials

Abstract

It is shown that an appropriate combination of methods, relevant to operational calculus and to special functions, can be a very useful tool to establish and treat a new modified 2D-Laguerre polynomials. We explore the formal properties of the operational identities to derive a number of properties of the new modified 2D-Laguerre polynomials and discuss the operational links with various known polynomials.

Keywords:

• 2D-Laguerre polynomials
• generating functions
• exponential operators
• operational identities
• monomiality principle

2010 Mathematics subject Classifications:

• 33C45
• 33C50

Disclosure statement

No potential conflict of interest was reported by the author(s).