1 Department of Mathematical and Physical Engineering, College of Engineering Shubra, Benha University, Benha, Egypt. 2 Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, ...

Abstract: This paper offers a simple description of the elementary properties of the Jacobian elliptic functions and of the Landen transformation, which connects them with the circular and hyperbolic ...

for a couple of positive integers. The above equation is called the string Equation (or Douglas equation) of type, and appears in the string theory or the theory of 2D quantum gravity [1]-[8]. In the ...

IN the preface to his "Elliptic Functions", written in 1892, Prof. A. G. Greenhill complained that, although the subject was then nearly seventy years old, it had not made its way into the ordinary ...

Mathematics of Computation, Vol. 37, No. 156 (Oct., 1981), pp. 475-494 (20 pages) Two conjectures are posed for the coefficients introduced by Alois Schett in the Taylor series expansion of the ...

Some simulations on the statistics of rational points of elliptic function fields over finite fields. In the notebook there are some simulations that calculate the mean number of rational points of an ...