6 papers
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.
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…
Jensen's Inequalities in Two and Three Dimensions
Nikolaos D. Bagis
We prove certain type symmetric inequalities in and , that ocur in many problems of analysis. These inequalities are generalizations of the Jensen's…
q-Series Related with Higher Forms
Nikolaos D. Bagis
We examine series related to higher forms. These forms are cubics, quartics, etc. In some points, in the article we add parts from previous works, in such a way, the article be…
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…
On the Solution of Gauss Circle Problem Conjecture (Revised)
Nikolaos D. Bagis
We give an asymptotic formula for the mean value of the number of representations of an integer as sum of two squares known as the Gauss circle problem.