General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints

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.

Automated summary

This paper proposes a general approach to bivariate Appell polynomials based on matrix calculus, presenting known and new basic results such as recurrence relations, determinant forms, and differential equations. The applications of this approach to linear functional and linear interpolation are briefly discussed, along with examples of bivariate Appell polynomial sequences.