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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 2009 · math.GMShow all

6 papers · 2 filters

math.GM2009★ 1 cited

Evaluations of Ramanujan Continued Fractions

Nikos Bagis

In this paper we present experimental ways of evaluating Ramanujan`s quantities which as someone can see are related with algebraic numbers. The good thing with algebraic numbers i…

math.GM2009★ 3 cited

Some results on Theory of Infinite Series and Divisor Sums

Nikos Bagis

In this article we present certain formulas involving arithmetical functions. In the first part we study properties of sums and product formulas for general type of arithmetic func…

math.GM2009

The general solution of Schrodigers differential equation

Nikos Bagis

In this note we solve theoretically the Schrodingers differential equation using results based on our previous work which concern semigroup operators. Our method does not use eigen…

math.GM2009

The general solution of the linear difference equation of degree-2 and the continued fraction produced from this equation

Nikos Bagis

In this article we give, for the fist time the solution of the general difference equation of 2-degree. We also give as application the expansion of a continued fraction into serie…

math.GM2009

Research note on a well posed integral used in Apery's proof for the irrationality of Z(3)

Nikos Bagis

In this note we evaluate multiple integrals that play a crucial role in the theory of irrationality of zeta function

math.GM2009★ 1 cited

Brief Research Notes on Transformation of Series and Special Functions

Nikos Bagis

In this work we derive results concerning Elliptic Functions using as tools general formulas from previus work.