P. L. Robinson

activity

20122021

most citedProjective Space: Lines and Duality

3 citations · 22 across the 56 of their papers we have counts for

collaborators

Showing 2019 · math.CVShow all

6 papers · 2 filters

math.CV2019

Elliptic functions from $F (\frac{1}{4}, \frac{3}{4}; \frac{1}{2}; ∙)$

P. L. Robinson

We reconsider the elliptic functions that are generated from the hypergeometric function $F (\frac{1}{4}, \frac{3}{4}; \frac{1}{2}; ∙)$ by Li-Chien Shen, presenting fresh…

math.CV2019

Elliptic functions from $F (\frac{1}{3}, \frac{2}{3}; \frac{1}{2}; ∙)$

P. L. Robinson

Li-Chien Shen developed a family of elliptic functions from the hypergeometric function $_{2} F_{1} (\frac{1}{3}, \frac{2}{3}; \frac{1}{2}; ∙)$ . We comment on this development, o…

math.CV2019★ 2 cited

Meromorphic functions in a first-order system

P. L. Robinson

We consider the differential equations $s^{'} = c^{5}$ and $c^{'} = - s^{5}$ with initial conditions $s (0) = 0$ and $c (0) = 1$ . We show that $s^{2} c^{2}$ extends to the reciprocal of the Weiers…

math.CV2019★ 2 cited

The Elliptic Functions in a First-Order System

P. L. Robinson

We investigate the first-order system ` $s^{'} = c^{3}, c^{'} = - s^{3}; s (0) = 0, c (0) = 1$ '. Its solutions have the property that $s c$ , $s^{2}$ and $c^{2}$ extend to simply-pol…

math.CV2019

The Lemniscatic Functions

P. L. Robinson

We develop the theory of the lemniscatic functions sl and cl from their definition as solutions to an initial value problem.

math.CV2019★ 1 cited

The Dixonian elliptic functions

P. L. Robinson

We offer a careful development of the Dixonian elliptic functions with parameter $α = 0$ from the initial value problem of which they are solutions.

Elliptic functions from F(41​,43​;21​;∙)

Elliptic functions from F(31​,32​;21​;∙)

Meromorphic functions in a first-order system

The Elliptic Functions in a First-Order System

The Lemniscatic Functions

The Dixonian elliptic functions

Elliptic functions from $F (\frac{1}{4}, \frac{3}{4}; \frac{1}{2}; ∙)$

Elliptic functions from $F (\frac{1}{3}, \frac{2}{3}; \frac{1}{2}; ∙)$