Abstract: Computations on encrypted data can, in principle, be performed using homomorphic encryption. However, due to certain limitations, only algorithms based on polynomial functions can be ...

Polynomial equations are fundamental concepts in mathematics that define relationships between numbers and variables in a structured manner. In mathematics, various equations are composed using ...

In 1940 André Weil wrote a letter to his sister, Simone, outlining his vision for translating between three distinct areas of mathematics. Eighty years later, it still animates many of the most ...

This paper presents a new generating function for Hermite polynomials of one variable in theform of\(g(x,t)=\sum_{n=0}^{\infty }t^{n}H^{e}_{n}(x)\)and reveals its connection with incomplete gamma ...

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