August 5, 2025Fractal and FractionalOpen Access

Differential and Integral Equations Involving Multivariate Special Polynomials with Applications in Computer Modeling

View Full Paper

Ask AI

Bookmark

Authors

Discussion

This work reveals governing differential and integral equations in multivariate polynomials, suggesting new methods for mathematical modeling.

A new family of multivariate special polynomials is introduced, enhancing mathematical modeling capabilities.
Core properties like recurrence relations and shift operators are explored, establishing a structural framework.
The factorization method is used to derive differential, partial differential, and integral equations.
Computational simulations provide insights into the analytical behavior of these polynomials by approximating their roots.

Zayed et al. (2025) studied this question.

View Full Paper

Ask AI

Bookmark

This work reveals governing differential and integral equations in multivariate polynomials, suggesting new methods for mathematical modeling.