General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints
Francesco Aldo Costabile, Maria Italia Gualtieri, Anna Napoli
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.
Topics & Concepts
Bivariate analysisMathematicsInterpolation (computer graphics)Appell seriesAlgebra over a fieldDifferential (mechanical device)Applied mathematicsMatrix (chemical analysis)Difference polynomialsMatrix calculusPolynomial matrixPolynomial interpolationLinear interpolationPolynomialOrthogonal polynomialsPure mathematicsCalculus (dental)Matrix polynomialMathematical analysisComputer scienceHypergeometric functionStatisticsHypergeometric function of a matrix argumentMaterials scienceMedicineGeneralized hypergeometric functionPhysicsAnimationKronecker deltaComposite materialAerospace engineeringEngineeringQuantum mechanicsDentistryComputer graphics (images)Mathematical functions and polynomialsAdvanced Mathematical Theories and ApplicationsMathematics and Applications