A 𝑑-ORTHOGONAL POLYNOMIAL SET OF MEIXNER TYPE

Abstract

In this contribution, a new set of 𝑑-orthogonal polynomials of Meixner type is introduced. Some properties of these polynomials, including an explicit formula, hypergeometric representation, as well as higher-order recurrence relation, and difference equation, are analyzed.

Keywords

• 𝑑-orthogonality
• meixner polynomials
• generating func- tion
• recurrence relation
• difference equation