Abstract: Summary form only given. Early was proposed new types of basis functions for variational calculations of the quantum-mechanical systems with Coulomb interaction between the particles. This ...

Plurisubharmonic functions form a central tool in the study of several complex variables, offering a robust framework for analysing complex phenomena via potential theory. These functions, which are ...

The discrete Fourier transforms of the six families of E-functions of the groups O(5) and G(2) is summarized. The six types are shown to be generalizations of the Euler formula for the complex ...

As in [Entire slice regular functions, Springer, 2016] we define the ∗-exponential of a slice-regular function, which can be seen as a generalization of the complex exponential to quaternions.

Real.exp : ℝ → ℝ Complex.exp : ℂ → ℂ NormedSpace.exp (𝕂 : Type*) {A : Type*} [...] [Algebra 𝕂 A] : A → A The first 2 definitions work for specific types, the last one generalizes both but takes an ...

30 November 2025. Project is open to Home applicants only. The solutions of a polynomial equation have an algebraic structure, a Galois group, which gives the symmetry group of the solutions under ...