3 papers
math.GM2023
Formulas for 2-D Beltrami Operators
Nikolaos D. Bagis
In this article we consider 2-dimensional surfaces. We define some new operators which enable us to evaluate quantities of the surface, such invariants, in a more systematic way.
math.GM2023
On the Construction of Relativistic Quantum Wave Equation and General Solution of the Second Order Differential Equation
Nikolaos D. Bagis
Using the elementary axioms of special relativity and quantum mechanics we construct a wave equation which generalizes the Schrodinger equation. We also solve the general second an…
math.GM2017
Evaluations of Series of Hyperbolic Functions
Nikolaos D. Bagis
In this article we give evaluations of certain series of hyperbolic functions, using Jacobi elliptic functions theory. We also define some new functions that enable us to give char…