Differential Equation and Recursive Formulas of Sheffer Polynomial Sequences
Differential Equation and Recursive Formulas of Sheffer Polynomial Sequences
We derive a differential equation and recursive formulas of Sheffer polynomial sequences utilizing matrix algebra. These formulas provide the defining characteristics of, and the means to compute, the Sheffer polynomial sequences. The tools we use are well-known Pascal functional and Wronskian matrices. The properties and the relationship between the two …