8 citations · 9 across the 8 of their papers we have counts for
10 papers · 1 filter
Evaluations of Derivatives of Jacobi Theta Functions in the origin
Nikos Bagis
In this article using Ramanujan's theory of Eisenstein series we evaluate completely the derivatives of the theta functions and in…
Formulas for the approximation of the complete Elliptic Integrals
Nikos Bagis
In this article we give evaluations of the two complete elliptic integrals and in the form of Ramanujans type- formulas. The result is a formula for w…
The First Derivative of Ramanujans Cubic Continued Fraction
Nikos Bagis
We give the complete evaluation of the first derivative of the Ramanujans cubic continued fraction using Elliptic functions. The Elliptic functions are easy to handle and give the…
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.