2 papers
math.CA2026
Hypergeometric Series Representations for the Perimeter of Lamé Superellipses
R. Omar Rodriguez, Yomber Montilla
We derive exact analytic representations for the perimeter of a Lamé superellipse of degree . The result is expressed in terms of two branches defined by series whose terms ar…
math.CA2026
On the Arc Length of a Supercircle and a Hypergeometric Formulation of
Yomber Montilla, R. Omar Rodriguez, Brexys Linares
We obtain an infinite-series representation for the arc length of a supercircle in terms of the scale parameter and the shape parameter . The resulting expression is constru…