Hypergeometric functions (HFs) are usually defined as the solutions of some differential equations and have both, series and integral representations. Recently, one of the ...

For many situations in Quantum Information Theory it is necessary to trace out a subgroup of quDits from a larger group. For example, suppose Alice, Bob and Charlie each have ...

In this paper we formalize a combinatorial object for describing link diagrams called a Planar Diagram Code (PD-Code). PD-codes are used by the KnotTheory Mathematica package ...

There are few optimal fourth-order methods for solving nonlinear equations when the multiplicity m of the required root is known in advance. Therefore, the first focus of ...

Space-time provides an excellent framework to describe the “when” and “where” of particles and events. When you wish to discuss “what” was present however, you ...

In this study, we obtain some new complex analytical solutions to the Kundu–Eckhaus equation which seems in the quantum field theory, weakly nonlinear dispersive water ...

We use generalized unitarity at the integrand-level to directly construct local, manifestly dual-conformally invariant formulae for all two-loop scattering amplitudes in ...

The present paper constitutes a development of our previous work devoted to calculations of the angular Fock coefficients ψk,p(α,θ). Explicit analytic ...

In a contemporary introduction to differential equations and linear algebra, acclaimed authors Edwards and Penney combine core topics in elementary differential equations ...

This paper presents a new implementation of a reliable iterative method proposed by Temimi and Ansari namely (TAM) for approximate solutions of a nonlinear problem that ...