We consider a pair of opposite vortices moving on the surface of the triaxial ellipsoid E (a, b,
c): x 2/a+ y 2/b+ z 2/c= 1, a< b< c. The equations of motion are transported to S 2× S 2 via a …

In this article starting from some reductions of hyperelliptic integrals of genus 3 into elliptic
integrals, due to Michael Roberts (A Tract on the addition of Elliptic and hyperelliptic …

Let x∈ Rn. For φ: Rn↦→ Rn and t∈ R, we put φt= t− 1φ (xt). A projective flow is a solution to
the projective translation equation φt+ s= φt◦ φs, t, s∈ R. Previously we have developed an …

Let $ x\in\mathbb {R}^{n} $. For $\phi:\mathbb {R}^{n}\mapsto\mathbb {R}^{n} $ and $
t\in\mathbb {R} $, we put $\phi^{t}= t^{-1}\phi (xt) $. A projective flow is a solution to the …

In this article we continue the investigations presented in our previous papers [1, 2, 3, 4],
presenting some, for the best of our knowledge, new transformations of the Gauss …

We study the implications of a hypergeometric transformation formula by Mingari Scarpello
and Ritelli [Open J. Math. Sci. 2 84–92 (2018)] derived from results given by Legendre in …

In this article we developed a special topic of our pure-mathematics papers concerning the
hypergeometric theory. Based upon a Roberts's reduction approach of hyperelliptic integrals …

In this article we continue the investigations presented in our previous papers [1, 2, 3, 4],
presenting some, for the best of our knowledge, new transformations of the Gauss …