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20092022
most citedOn a General Sextic Equation Solved by the Rogers Ramanujan Continued Fraction

10 citations · 73 across the 42 of their papers we have counts for

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Showing 2011 · math.GMShow all

6 papers · 2 filters

math.GM2011

Ramanujan type Approximation Formulas

Nikos Bagis

In this article we use theoretical and numerical methods to evaluate in a closed-exact form the parameters of Ramanujan type formulas.

math.GM2011★ 10 cited

On a General Sextic Equation Solved by the Rogers Ramanujan Continued Fraction

Nikos Bagis

In this article we solve a general class of sextic equations. The solution follows if we consider the -invariant and relate it with the polynomial equation's coefficients. The f…

math.GM2011★ 1 cited

Generalizations of Ramanujans Continued fractions

Nikos Bagis

In this article we continue a previous work in which we have generalized the Rogers Ramanujan continued fraction (RR) introducing what we call, the Ramanujan-Quantities (RQ). We us…

math.GM2011★ 4 cited

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…

math.GM2011

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…

math.GM2011★ 2 cited

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…