Certain properties of the Laguerre–Sheffer polynomials

The present paper intends to study certain properties of the Laguerre–Sheffer polynomials utilizing matrix algebra. Some indispensable properties such as the recursive formulas, differential equations and identities for the Laguerre–Sheffer, Laguerre-associated Sheffer and Laguerre–Appell polynomials are established. This approach is mainly based upon the properties and relationships between the Pascal functional and Wronskian matrices. Examples providing the corresponding results for some hybrid special polynomials are derived which serve as a focal theme of the study.