Manouchehr Amiri

most citedTheorems on Separated Transformations of Basis Vectors of Polynomial Space and its Applications in Classical Orthogonal Polynomials

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.GM2023★ 2 cited

Theorems on Separated Transformations of Basis Vectors of Polynomial Space and its Applications in Classical Orthogonal Polynomials

Manouchehr Amiri

The present paper introduces a method of basis transformation of a vector space that is specifically applicable to polynomials space and differential equations with certain polynom…

math.GM2023

Differential Operator Representation of sl (2, R) as Modules over Univariate and Bivariate Hermite Polynomials

Manouchehr Amiri

This paper presents the connections between univariate and bivariate Hermite polynomials and associated differential equations with specific representations of Lie algebra sl(2,R)…

math.GM2023

A New Generating Function for Hermite Polynomials

Manouchehr Amiri

This paper presents a new generating function for Hermite polynomials of one variable in the form of $g (x, t) = \sum_{n = 0}^{\infty} t^{n} H_{n}^{e} (x)$ and reveals its connection with…