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Parametric Evaluations of the Rogers Ramanujan Continued Fraction
Nikos Bagis
In this article with the help of the inverse function of the singular moduli we evaluate the Rogers Ranmanujan continued fraction and his first derivative.
Eisenstein Series, Alternative Modular Bases and Approximations of
Nikos Bagis
In this article using the theory of Eisenstein series, we give rise to the complete evaluation of two Gauss hypergeometric functions. Moreover we evaluate the modulus of each of th…
Notes On a Continued Fraction of Ramanujan
Nikos Bagis
We study the properties of a general continued fraction of Ramanujan. In some certain cases we evaluate it completely.
Some Notes on the Solutions of non Homogeneous Differential Equations
Nikos Bagis
We solve some forms of non homogeneous differential equations in one and two dimensions. By expanding the solution into whell-posed closed form-Eisenstein series the solution itsel…
The complete evaluation of Rogers Ramanujan and other continued fractions with elliptic functions
Nikos Bagis
In this article we present evaluations of continued fractions studied by Ramanujan. More precisely we give the complete polynomial equations of Rogers-Ramanujan and other continued…
Schrodinger's Equation in Riemann Spaces
Nikos Bagis
We present some properties of the first and second order Beltrami differential operators in metric spaces. We also solve the Schroedinger's equation for a wide class of potentials…