11 citations · 21 across the 4 of their papers we have counts for
4 papers
Study on a Phase Space Representation of Quantum Theory
Tokiniaina Ranaivoson, Raoelina Andriambololona, Rakotoson Hanitriarivo +1
A study on a method for the establishment of a phase space representation of quantum theory is presented. The approach utilizes the properties of Gaussian distribution, the propert…
Time-frequency analysis and Harmonic Gaussian Functions
Tokiniaina Ranaivoson, Raoelina Andriambololona, Rakotoson Hanitriarivo
A method for time-frequency analysis is given. The approach utilizes properties of Gaussian distribution, properties of Hermite polynomials and Fourier analysis. We begin by the de…
Definitions of complex order integrals and derivatives using operator approach
Raoelina Andriambololona, Tokiniaina Ranaivoson, Rakotoson Hanitriarivo
For a complex number s, the s-order integral of function f fulfilling some conditions is defined as action of an operator, noted J^s, on f. The definition of the operator J^s is gi…
Two definitions of fractional derivatives of power functions
Raoelina Andriambololona, Tokiniaina Ranaivoson, Hanitriarivo Rakotoson +1
We consider the set of power functions defined on the set of positive real number, and their linear combinations. After recalling some properties of the gamma function, we give two…