Meixner polynomials and their properties

Abstract

A number of properties of a special case of Meixner polynomials given by their generating function are investigated. These polynomials arise when applying the Cayley transformation method to solving the first bounda ryvalue problem for an abstract differential equation of the second order with an unbounded operator coefficient.

Keywords

• Cayley transformation method
• generating function
• Green function
• Meixner polynomials