General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints

Abstract

An approach to general bivariate Appell polynomials based on matrix calculus is proposed. Known and new basic results are given, such as recurrence relations, determinant forms, differential equations and other properties. Some applications to linear functional and linear interpolation are sketched. New and known examples of bivariate Appell polynomial sequences are given.

Keywords

• Polynomial sequences
• Appell polynomials
• bivariate Appell sequence