Numerical calculation of elliptic integrals and elliptic functions

1965 ◽  
Vol 7 (1) ◽  
pp. 78-90 ◽  
Author(s):  
Roland Bulirsch
Keyword(s):  
Numerical Calculation ◽  
Elliptic Functions ◽  
Elliptic Integrals

scholarly journals Researches on the geometrical properties of elliptic integrals

1854 ◽  
Vol 6 ◽  
pp. 143-145
Keyword(s):  
Elliptic Integral ◽  
Elliptic Functions ◽  
Second Order ◽  
Elliptic Integrals ◽  
Geometrical Properties ◽  
Entire Class ◽  
The Subject

In this paper the author proposes to investigate the true geometrical basis of that entire class of algebraical expressions, known to mathematicians as elliptic functions or integrals. He sets out by showing what had already been done in this department of the subject by preceding geometers. That the elliptic integral of the second order represented an arc of a plane ellipse, was evident from the beginning.

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