Title of article :
A linear algebra approach to the hybrid Sheffer–Appell polynomials
Author/Authors :
Khan, Subuhi Department of Mathematics - Aligarh Muslim University - Aligarh, India , Ali, Mahvish Department of Mathematics - Aligarh Muslim University - Aligarh, India
Abstract :
In this article, a method based on linear algebra approach is adopted to study the hybrid Sheffer–Appell polynomials. The recursive formulas and differential equation for these polynomials are derived by using the properties and relationships between the Pascal functional matrices and the Wronskian matrices. The corresponding results for some mixed type special polynomials are also obtained.
Keywords :
Sheffer polynomials , Generalized Pascal functional matrix , Wronskian matrix , Recursive formulas , Differential equation
